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Finding the Fourth Proportional to 85.61, 118.14 and 52.87

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Solution

The fourth proportional to 85.61, 118.14 and 52.87 is: 72.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.61 : 118.14 = 52.87 : x
  2. Step 2: Convert to fraction form
    85.61/118.14 = 52.87/x
  3. Step 3: Cross multiply
    85.61x = 118.14 × 52.87
  4. Step 4: Simplify right side
    85.61x = 6,246.06
  5. Step 5: Solve for x
    x = 6,246.06/85.61
  6. Step 6: Final answer
    x = 72.96

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Why These Related Problems?

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