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Finding the Fourth Proportional to 102.24, 152.28 and 101.76

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Solution

The fourth proportional to 102.24, 152.28 and 101.76 is: 151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.24 : 152.28 = 101.76 : x
  2. Step 2: Convert to fraction form
    102.24/152.28 = 101.76/x
  3. Step 3: Cross multiply
    102.24x = 152.28 × 101.76
  4. Step 4: Simplify right side
    102.24x = 15,496.01
  5. Step 5: Solve for x
    x = 15,496.01/102.24
  6. Step 6: Final answer
    x = 151.57

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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.