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Finding the Fourth Proportional to 153.81, 212.25 and 91.65

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Solution

The fourth proportional to 153.81, 212.25 and 91.65 is: 126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.81 : 212.25 = 91.65 : x
  2. Step 2: Convert to fraction form
    153.81/212.25 = 91.65/x
  3. Step 3: Cross multiply
    153.81x = 212.25 × 91.65
  4. Step 4: Simplify right side
    153.81x = 19,452.71
  5. Step 5: Solve for x
    x = 19,452.71/153.81
  6. Step 6: Final answer
    x = 126.47

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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.