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Finding the Fourth Proportional to 106.24, 160.24 and 101.76

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Solution

The fourth proportional to 106.24, 160.24 and 101.76 is: 153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.24 : 160.24 = 101.76 : x
  2. Step 2: Convert to fraction form
    106.24/160.24 = 101.76/x
  3. Step 3: Cross multiply
    106.24x = 160.24 × 101.76
  4. Step 4: Simplify right side
    106.24x = 16,306.02
  5. Step 5: Solve for x
    x = 16,306.02/106.24
  6. Step 6: Final answer
    x = 153.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.