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Finding the Fourth Proportional to 149.98, 207.01 and 84.52

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Solution

The fourth proportional to 149.98, 207.01 and 84.52 is: 116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.98 : 207.01 = 84.52 : x
  2. Step 2: Convert to fraction form
    149.98/207.01 = 84.52/x
  3. Step 3: Cross multiply
    149.98x = 207.01 × 84.52
  4. Step 4: Simplify right side
    149.98x = 17,495.79
  5. Step 5: Solve for x
    x = 17,495.79/149.98
  6. Step 6: Final answer
    x = 116.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.