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Finding the Fourth Proportional to 153.88, 212.43 and 104.16

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Solution

The fourth proportional to 153.88, 212.43 and 104.16 is: 143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.88 : 212.43 = 104.16 : x
  2. Step 2: Convert to fraction form
    153.88/212.43 = 104.16/x
  3. Step 3: Cross multiply
    153.88x = 212.43 × 104.16
  4. Step 4: Simplify right side
    153.88x = 22,126.71
  5. Step 5: Solve for x
    x = 22,126.71/153.88
  6. Step 6: Final answer
    x = 143.79

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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.