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Finding the Fourth Proportional to 61.17, 84.26 and 52.84

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Solution

The fourth proportional to 61.17, 84.26 and 52.84 is: 72.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.17 : 84.26 = 52.84 : x
  2. Step 2: Convert to fraction form
    61.17/84.26 = 52.84/x
  3. Step 3: Cross multiply
    61.17x = 84.26 × 52.84
  4. Step 4: Simplify right side
    61.17x = 4,451.76
  5. Step 5: Solve for x
    x = 4,451.76/61.17
  6. Step 6: Final answer
    x = 72.77

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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.