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Finding the Fourth Proportional to 61.08, 91.62 and 55.14

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Solution

The fourth proportional to 61.08, 91.62 and 55.14 is: 82.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.08 : 91.62 = 55.14 : x
  2. Step 2: Convert to fraction form
    61.08/91.62 = 55.14/x
  3. Step 3: Cross multiply
    61.08x = 91.62 × 55.14
  4. Step 4: Simplify right side
    61.08x = 5,051.93
  5. Step 5: Solve for x
    x = 5,051.93/61.08
  6. Step 6: Final answer
    x = 82.71

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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.