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Finding the Fourth Proportional to 88.29, 131.85 and 75.98

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Solution

The fourth proportional to 88.29, 131.85 and 75.98 is: 113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.29 : 131.85 = 75.98 : x
  2. Step 2: Convert to fraction form
    88.29/131.85 = 75.98/x
  3. Step 3: Cross multiply
    88.29x = 131.85 × 75.98
  4. Step 4: Simplify right side
    88.29x = 10,017.30
  5. Step 5: Solve for x
    x = 10,017.30/88.29
  6. Step 6: Final answer
    x = 113.46

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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.