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Finding the Fourth Proportional to 61.99, 92.50 and 61.65

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Solution

The fourth proportional to 61.99, 92.50 and 61.65 is: 91.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.99 : 92.50 = 61.65 : x
  2. Step 2: Convert to fraction form
    61.99/92.50 = 61.65/x
  3. Step 3: Cross multiply
    61.99x = 92.50 × 61.65
  4. Step 4: Simplify right side
    61.99x = 5,702.47
  5. Step 5: Solve for x
    x = 5,702.47/61.99
  6. Step 6: Final answer
    x = 91.99

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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.