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Finding the Fourth Proportional to 102.40, 148.24 and 102.40

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Solution

The fourth proportional to 102.40, 148.24 and 102.40 is: 148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.40 : 148.24 = 102.40 : x
  2. Step 2: Convert to fraction form
    102.40/148.24 = 102.40/x
  3. Step 3: Cross multiply
    102.40x = 148.24 × 102.40
  4. Step 4: Simplify right side
    102.40x = 15,179.78
  5. Step 5: Solve for x
    x = 15,179.78/102.40
  6. Step 6: Final answer
    x = 148.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.