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Finding the Fourth Proportional to 99.49, 149.25 and 31.01

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Solution

The fourth proportional to 99.49, 149.25 and 31.01 is: 46.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.49 : 149.25 = 31.01 : x
  2. Step 2: Convert to fraction form
    99.49/149.25 = 31.01/x
  3. Step 3: Cross multiply
    99.49x = 149.25 × 31.01
  4. Step 4: Simplify right side
    99.49x = 4,627.50
  5. Step 5: Solve for x
    x = 4,627.50/99.49
  6. Step 6: Final answer
    x = 46.51

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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.