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Finding the Fourth Proportional to 169.16, 233.44 and 91.53

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Solution

The fourth proportional to 169.16, 233.44 and 91.53 is: 126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.16 : 233.44 = 91.53 : x
  2. Step 2: Convert to fraction form
    169.16/233.44 = 91.53/x
  3. Step 3: Cross multiply
    169.16x = 233.44 × 91.53
  4. Step 4: Simplify right side
    169.16x = 21,366.71
  5. Step 5: Solve for x
    x = 21,366.71/169.16
  6. Step 6: Final answer
    x = 126.31

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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.