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Finding the Fourth Proportional to 100.53, 149.13 and 100.26

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Solution

The fourth proportional to 100.53, 149.13 and 100.26 is: 148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.53 : 149.13 = 100.26 : x
  2. Step 2: Convert to fraction form
    100.53/149.13 = 100.26/x
  3. Step 3: Cross multiply
    100.53x = 149.13 × 100.26
  4. Step 4: Simplify right side
    100.53x = 14,951.77
  5. Step 5: Solve for x
    x = 14,951.77/100.53
  6. Step 6: Final answer
    x = 148.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.