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Finding the Fourth Proportional to 61.42, 91.61 and 53.86

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Solution

The fourth proportional to 61.42, 91.61 and 53.86 is: 80.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.42 : 91.61 = 53.86 : x
  2. Step 2: Convert to fraction form
    61.42/91.61 = 53.86/x
  3. Step 3: Cross multiply
    61.42x = 91.61 × 53.86
  4. Step 4: Simplify right side
    61.42x = 4,934.11
  5. Step 5: Solve for x
    x = 4,934.11/61.42
  6. Step 6: Final answer
    x = 80.33

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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.