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Finding the Fourth Proportional to 125.73, 188.71 and 64.90

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Solution

The fourth proportional to 125.73, 188.71 and 64.90 is: 97.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.73 : 188.71 = 64.90 : x
  2. Step 2: Convert to fraction form
    125.73/188.71 = 64.90/x
  3. Step 3: Cross multiply
    125.73x = 188.71 × 64.90
  4. Step 4: Simplify right side
    125.73x = 12,247.28
  5. Step 5: Solve for x
    x = 12,247.28/125.73
  6. Step 6: Final answer
    x = 97.41

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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.