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Finding the Fourth Proportional to 61.97, 92.54 and 58.52

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Solution

The fourth proportional to 61.97, 92.54 and 58.52 is: 87.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.97 : 92.54 = 58.52 : x
  2. Step 2: Convert to fraction form
    61.97/92.54 = 58.52/x
  3. Step 3: Cross multiply
    61.97x = 92.54 × 58.52
  4. Step 4: Simplify right side
    61.97x = 5,415.82
  5. Step 5: Solve for x
    x = 5,415.82/61.97
  6. Step 6: Final answer
    x = 87.40

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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.