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Finding the Fourth Proportional to 40.10, 59.78 and 39.31

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Solution

The fourth proportional to 40.10, 59.78 and 39.31 is: 58.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.10 : 59.78 = 39.31 : x
  2. Step 2: Convert to fraction form
    40.10/59.78 = 39.31/x
  3. Step 3: Cross multiply
    40.10x = 59.78 × 39.31
  4. Step 4: Simplify right side
    40.10x = 2,349.90
  5. Step 5: Solve for x
    x = 2,349.90/40.10
  6. Step 6: Final answer
    x = 58.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.