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Finding the Fourth Proportional to 125.64, 188.46 and 71.91

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Solution

The fourth proportional to 125.64, 188.46 and 71.91 is: 107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.64 : 188.46 = 71.91 : x
  2. Step 2: Convert to fraction form
    125.64/188.46 = 71.91/x
  3. Step 3: Cross multiply
    125.64x = 188.46 × 71.91
  4. Step 4: Simplify right side
    125.64x = 13,552.16
  5. Step 5: Solve for x
    x = 13,552.16/125.64
  6. Step 6: Final answer
    x = 107.87

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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.