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Finding the Fourth Proportional to 153.65, 212.01 and 91.46

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Solution

The fourth proportional to 153.65, 212.01 and 91.46 is: 126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.65 : 212.01 = 91.46 : x
  2. Step 2: Convert to fraction form
    153.65/212.01 = 91.46/x
  3. Step 3: Cross multiply
    153.65x = 212.01 × 91.46
  4. Step 4: Simplify right side
    153.65x = 19,391.14
  5. Step 5: Solve for x
    x = 19,391.14/153.65
  6. Step 6: Final answer
    x = 126.21

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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.