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Finding the Fourth Proportional to 88.12, 131.91 and 52.08

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Solution

The fourth proportional to 88.12, 131.91 and 52.08 is: 77.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.12 : 131.91 = 52.08 : x
  2. Step 2: Convert to fraction form
    88.12/131.91 = 52.08/x
  3. Step 3: Cross multiply
    88.12x = 131.91 × 52.08
  4. Step 4: Simplify right side
    88.12x = 6,869.87
  5. Step 5: Solve for x
    x = 6,869.87/88.12
  6. Step 6: Final answer
    x = 77.96

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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.