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Finding the Fourth Proportional to 61.83, 92.15 and 58.95

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Solution

The fourth proportional to 61.83, 92.15 and 58.95 is: 87.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.83 : 92.15 = 58.95 : x
  2. Step 2: Convert to fraction form
    61.83/92.15 = 58.95/x
  3. Step 3: Cross multiply
    61.83x = 92.15 × 58.95
  4. Step 4: Simplify right side
    61.83x = 5,431.95
  5. Step 5: Solve for x
    x = 5,431.95/61.83
  6. Step 6: Final answer
    x = 87.85

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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.