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Finding the Fourth Proportional to 39.74, 59.76 and 26.24

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Solution

The fourth proportional to 39.74, 59.76 and 26.24 is: 39.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.74 : 59.76 = 26.24 : x
  2. Step 2: Convert to fraction form
    39.74/59.76 = 26.24/x
  3. Step 3: Cross multiply
    39.74x = 59.76 × 26.24
  4. Step 4: Simplify right side
    39.74x = 1,567.80
  5. Step 5: Solve for x
    x = 1,567.80/39.74
  6. Step 6: Final answer
    x = 39.46

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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.