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Finding the Fourth Proportional to 102.96, 154.02 and 102.18

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Solution

The fourth proportional to 102.96, 154.02 and 102.18 is: 152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.96 : 154.02 = 102.18 : x
  2. Step 2: Convert to fraction form
    102.96/154.02 = 102.18/x
  3. Step 3: Cross multiply
    102.96x = 154.02 × 102.18
  4. Step 4: Simplify right side
    102.96x = 15,737.76
  5. Step 5: Solve for x
    x = 15,737.76/102.96
  6. Step 6: Final answer
    x = 152.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.