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Finding the Fourth Proportional to 61.52, 84.91 and 40.76

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Solution

The fourth proportional to 61.52, 84.91 and 40.76 is: 56.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.52 : 84.91 = 40.76 : x
  2. Step 2: Convert to fraction form
    61.52/84.91 = 40.76/x
  3. Step 3: Cross multiply
    61.52x = 84.91 × 40.76
  4. Step 4: Simplify right side
    61.52x = 3,460.93
  5. Step 5: Solve for x
    x = 3,460.93/61.52
  6. Step 6: Final answer
    x = 56.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.