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Finding the Fourth Proportional to 102.02, 154.12 and 101.12

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Solution

The fourth proportional to 102.02, 154.12 and 101.12 is: 152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.02 : 154.12 = 101.12 : x
  2. Step 2: Convert to fraction form
    102.02/154.12 = 101.12/x
  3. Step 3: Cross multiply
    102.02x = 154.12 × 101.12
  4. Step 4: Simplify right side
    102.02x = 15,584.61
  5. Step 5: Solve for x
    x = 15,584.61/102.02
  6. Step 6: Final answer
    x = 152.76

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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.