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Finding the Fourth Proportional to 149.72, 206.63 and 90.71

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Solution

The fourth proportional to 149.72, 206.63 and 90.71 is: 125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.72 : 206.63 = 90.71 : x
  2. Step 2: Convert to fraction form
    149.72/206.63 = 90.71/x
  3. Step 3: Cross multiply
    149.72x = 206.63 × 90.71
  4. Step 4: Simplify right side
    149.72x = 18,741.92
  5. Step 5: Solve for x
    x = 18,741.92/149.72
  6. Step 6: Final answer
    x = 125.18

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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.