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Finding the Fourth Proportional to 153.85, 212.29 and 87.46

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Solution

The fourth proportional to 153.85, 212.29 and 87.46 is: 120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.85 : 212.29 = 87.46 : x
  2. Step 2: Convert to fraction form
    153.85/212.29 = 87.46/x
  3. Step 3: Cross multiply
    153.85x = 212.29 × 87.46
  4. Step 4: Simplify right side
    153.85x = 18,566.88
  5. Step 5: Solve for x
    x = 18,566.88/153.85
  6. Step 6: Final answer
    x = 120.69

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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.