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Finding the Fourth Proportional to 103.04, 153.90 and 101.42

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Solution

The fourth proportional to 103.04, 153.90 and 101.42 is: 151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.04 : 153.90 = 101.42 : x
  2. Step 2: Convert to fraction form
    103.04/153.90 = 101.42/x
  3. Step 3: Cross multiply
    103.04x = 153.90 × 101.42
  4. Step 4: Simplify right side
    103.04x = 15,608.54
  5. Step 5: Solve for x
    x = 15,608.54/103.04
  6. Step 6: Final answer
    x = 151.48

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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.