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Finding the Fourth Proportional to 110.89, 152.87 and 78.13

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Solution

The fourth proportional to 110.89, 152.87 and 78.13 is: 107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.89 : 152.87 = 78.13 : x
  2. Step 2: Convert to fraction form
    110.89/152.87 = 78.13/x
  3. Step 3: Cross multiply
    110.89x = 152.87 × 78.13
  4. Step 4: Simplify right side
    110.89x = 11,943.34
  5. Step 5: Solve for x
    x = 11,943.34/110.89
  6. Step 6: Final answer
    x = 107.70

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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.