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Finding the Fourth Proportional to 39.74, 59.48 and 26.89

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Solution

The fourth proportional to 39.74, 59.48 and 26.89 is: 40.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.74 : 59.48 = 26.89 : x
  2. Step 2: Convert to fraction form
    39.74/59.48 = 26.89/x
  3. Step 3: Cross multiply
    39.74x = 59.48 × 26.89
  4. Step 4: Simplify right side
    39.74x = 1,599.13
  5. Step 5: Solve for x
    x = 1,599.13/39.74
  6. Step 6: Final answer
    x = 40.24

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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.