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Finding the Fourth Proportional to 88.29, 131.76 and 83.16

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Solution

The fourth proportional to 88.29, 131.76 and 83.16 is: 124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.29 : 131.76 = 83.16 : x
  2. Step 2: Convert to fraction form
    88.29/131.76 = 83.16/x
  3. Step 3: Cross multiply
    88.29x = 131.76 × 83.16
  4. Step 4: Simplify right side
    88.29x = 10,957.16
  5. Step 5: Solve for x
    x = 10,957.16/88.29
  6. Step 6: Final answer
    x = 124.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.