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Finding the Fourth Proportional to 153.98, 212.49 and 87.59

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Solution

The fourth proportional to 153.98, 212.49 and 87.59 is: 120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.98 : 212.49 = 87.59 : x
  2. Step 2: Convert to fraction form
    153.98/212.49 = 87.59/x
  3. Step 3: Cross multiply
    153.98x = 212.49 × 87.59
  4. Step 4: Simplify right side
    153.98x = 18,610.50
  5. Step 5: Solve for x
    x = 18,610.50/153.98
  6. Step 6: Final answer
    x = 120.86

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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.