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Finding the Fourth Proportional to 103.44, 154.13 and 99.57

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Solution

The fourth proportional to 103.44, 154.13 and 99.57 is: 148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.44 : 154.13 = 99.57 : x
  2. Step 2: Convert to fraction form
    103.44/154.13 = 99.57/x
  3. Step 3: Cross multiply
    103.44x = 154.13 × 99.57
  4. Step 4: Simplify right side
    103.44x = 15,346.72
  5. Step 5: Solve for x
    x = 15,346.72/103.44
  6. Step 6: Final answer
    x = 148.36

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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.