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Finding the Fourth Proportional to 106.31, 158.76 and 88.90

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Solution

The fourth proportional to 106.31, 158.76 and 88.90 is: 132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.31 : 158.76 = 88.90 : x
  2. Step 2: Convert to fraction form
    106.31/158.76 = 88.90/x
  3. Step 3: Cross multiply
    106.31x = 158.76 × 88.90
  4. Step 4: Simplify right side
    106.31x = 14,113.37
  5. Step 5: Solve for x
    x = 14,113.37/106.31
  6. Step 6: Final answer
    x = 132.75

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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.