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Finding the Fourth Proportional to 88.14, 131.45 and 77.36

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Solution

The fourth proportional to 88.14, 131.45 and 77.36 is: 115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.14 : 131.45 = 77.36 : x
  2. Step 2: Convert to fraction form
    88.14/131.45 = 77.36/x
  3. Step 3: Cross multiply
    88.14x = 131.45 × 77.36
  4. Step 4: Simplify right side
    88.14x = 10,167.93
  5. Step 5: Solve for x
    x = 10,167.93/88.14
  6. Step 6: Final answer
    x = 115.36

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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.