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Finding the Fourth Proportional to 101.85, 152.11 and 88.17

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Solution

The fourth proportional to 101.85, 152.11 and 88.17 is: 131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.85 : 152.11 = 88.17 : x
  2. Step 2: Convert to fraction form
    101.85/152.11 = 88.17/x
  3. Step 3: Cross multiply
    101.85x = 152.11 × 88.17
  4. Step 4: Simplify right side
    101.85x = 13,411.54
  5. Step 5: Solve for x
    x = 13,411.54/101.85
  6. Step 6: Final answer
    x = 131.68

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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.