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Finding the Fourth Proportional to 125.53, 188.56 and 106.31

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Solution

The fourth proportional to 125.53, 188.56 and 106.31 is: 159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.53 : 188.56 = 106.31 : x
  2. Step 2: Convert to fraction form
    125.53/188.56 = 106.31/x
  3. Step 3: Cross multiply
    125.53x = 188.56 × 106.31
  4. Step 4: Simplify right side
    125.53x = 20,044.34
  5. Step 5: Solve for x
    x = 20,044.34/125.53
  6. Step 6: Final answer
    x = 159.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.