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Finding the Fourth Proportional to 99.40, 149.10 and 35.24

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Solution

The fourth proportional to 99.40, 149.10 and 35.24 is: 52.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.40 : 149.10 = 35.24 : x
  2. Step 2: Convert to fraction form
    99.40/149.10 = 35.24/x
  3. Step 3: Cross multiply
    99.40x = 149.10 × 35.24
  4. Step 4: Simplify right side
    99.40x = 5,254.28
  5. Step 5: Solve for x
    x = 5,254.28/99.40
  6. Step 6: Final answer
    x = 52.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.