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Finding the Fourth Proportional to 88.02, 131.40 and 75.11

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Solution

The fourth proportional to 88.02, 131.40 and 75.11 is: 112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.02 : 131.40 = 75.11 : x
  2. Step 2: Convert to fraction form
    88.02/131.40 = 75.11/x
  3. Step 3: Cross multiply
    88.02x = 131.40 × 75.11
  4. Step 4: Simplify right side
    88.02x = 9,868.80
  5. Step 5: Solve for x
    x = 9,868.80/88.02
  6. Step 6: Final answer
    x = 112.12

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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.