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Finding the Fourth Proportional to 103.20, 153.56 and 102.64

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Solution

The fourth proportional to 103.20, 153.56 and 102.64 is: 152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.20 : 153.56 = 102.64 : x
  2. Step 2: Convert to fraction form
    103.20/153.56 = 102.64/x
  3. Step 3: Cross multiply
    103.20x = 153.56 × 102.64
  4. Step 4: Simplify right side
    103.20x = 15,761.40
  5. Step 5: Solve for x
    x = 15,761.40/103.20
  6. Step 6: Final answer
    x = 152.73

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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.