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Finding the Fourth Proportional to 97.42, 145.86 and 61.24

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Solution

The fourth proportional to 97.42, 145.86 and 61.24 is: 91.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.42 : 145.86 = 61.24 : x
  2. Step 2: Convert to fraction form
    97.42/145.86 = 61.24/x
  3. Step 3: Cross multiply
    97.42x = 145.86 × 61.24
  4. Step 4: Simplify right side
    97.42x = 8,932.47
  5. Step 5: Solve for x
    x = 8,932.47/97.42
  6. Step 6: Final answer
    x = 91.69

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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.