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Finding the Fourth Proportional to 153.68, 212.04 and 107.12

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Solution

The fourth proportional to 153.68, 212.04 and 107.12 is: 147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.68 : 212.04 = 107.12 : x
  2. Step 2: Convert to fraction form
    153.68/212.04 = 107.12/x
  3. Step 3: Cross multiply
    153.68x = 212.04 × 107.12
  4. Step 4: Simplify right side
    153.68x = 22,713.72
  5. Step 5: Solve for x
    x = 22,713.72/153.68
  6. Step 6: Final answer
    x = 147.80

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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.