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Finding the Fourth Proportional to 72.42, 100.08 and 61.35

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Solution

The fourth proportional to 72.42, 100.08 and 61.35 is: 84.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.42 : 100.08 = 61.35 : x
  2. Step 2: Convert to fraction form
    72.42/100.08 = 61.35/x
  3. Step 3: Cross multiply
    72.42x = 100.08 × 61.35
  4. Step 4: Simplify right side
    72.42x = 6,139.91
  5. Step 5: Solve for x
    x = 6,139.91/72.42
  6. Step 6: Final answer
    x = 84.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.