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Finding the Fourth Proportional to 104.16, 155.39 and 101.48

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Solution

The fourth proportional to 104.16, 155.39 and 101.48 is: 151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.16 : 155.39 = 101.48 : x
  2. Step 2: Convert to fraction form
    104.16/155.39 = 101.48/x
  3. Step 3: Cross multiply
    104.16x = 155.39 × 101.48
  4. Step 4: Simplify right side
    104.16x = 15,768.45
  5. Step 5: Solve for x
    x = 15,768.45/104.16
  6. Step 6: Final answer
    x = 151.39

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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.