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Finding the Fourth Proportional to 61.76, 92.49 and 58.57

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Solution

The fourth proportional to 61.76, 92.49 and 58.57 is: 87.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.76 : 92.49 = 58.57 : x
  2. Step 2: Convert to fraction form
    61.76/92.49 = 58.57/x
  3. Step 3: Cross multiply
    61.76x = 92.49 × 58.57
  4. Step 4: Simplify right side
    61.76x = 5,417.54
  5. Step 5: Solve for x
    x = 5,417.54/61.76
  6. Step 6: Final answer
    x = 87.72

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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.