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Finding the Fourth Proportional to 102.46, 154.81 and 101.47

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Solution

The fourth proportional to 102.46, 154.81 and 101.47 is: 153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.46 : 154.81 = 101.47 : x
  2. Step 2: Convert to fraction form
    102.46/154.81 = 101.47/x
  3. Step 3: Cross multiply
    102.46x = 154.81 × 101.47
  4. Step 4: Simplify right side
    102.46x = 15,708.57
  5. Step 5: Solve for x
    x = 15,708.57/102.46
  6. Step 6: Final answer
    x = 153.31

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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.