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Finding the Fourth Proportional to 40.32, 59.88 and 39.40

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Solution

The fourth proportional to 40.32, 59.88 and 39.40 is: 58.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.32 : 59.88 = 39.40 : x
  2. Step 2: Convert to fraction form
    40.32/59.88 = 39.40/x
  3. Step 3: Cross multiply
    40.32x = 59.88 × 39.40
  4. Step 4: Simplify right side
    40.32x = 2,359.27
  5. Step 5: Solve for x
    x = 2,359.27/40.32
  6. Step 6: Final answer
    x = 58.51

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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.