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Finding the Fourth Proportional to 100.24, 149.72 and 84

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Solution

The fourth proportional to 100.24, 149.72 and 84 is: 125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.24 : 149.72 = 84 : x
  2. Step 2: Convert to fraction form
    100.24/149.72 = 84/x
  3. Step 3: Cross multiply
    100.24x = 149.72 × 84
  4. Step 4: Simplify right side
    100.24x = 12,576.48
  5. Step 5: Solve for x
    x = 12,576.48/100.24
  6. Step 6: Final answer
    x = 125.46

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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.