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Finding the Fourth Proportional to 101.54, 152.40 and 100.78

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Solution

The fourth proportional to 101.54, 152.40 and 100.78 is: 151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.54 : 152.40 = 100.78 : x
  2. Step 2: Convert to fraction form
    101.54/152.40 = 100.78/x
  3. Step 3: Cross multiply
    101.54x = 152.40 × 100.78
  4. Step 4: Simplify right side
    101.54x = 15,358.87
  5. Step 5: Solve for x
    x = 15,358.87/101.54
  6. Step 6: Final answer
    x = 151.26

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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.