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Finding the Fourth Proportional to 153.68, 212.10 and 87.29

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Solution

The fourth proportional to 153.68, 212.10 and 87.29 is: 120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.68 : 212.10 = 87.29 : x
  2. Step 2: Convert to fraction form
    153.68/212.10 = 87.29/x
  3. Step 3: Cross multiply
    153.68x = 212.10 × 87.29
  4. Step 4: Simplify right side
    153.68x = 18,513.15
  5. Step 5: Solve for x
    x = 18,513.15/153.68
  6. Step 6: Final answer
    x = 120.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.