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Finding the Fourth Proportional to 113.61, 155.77 and 110.87

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Solution

The fourth proportional to 113.61, 155.77 and 110.87 is: 152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.61 : 155.77 = 110.87 : x
  2. Step 2: Convert to fraction form
    113.61/155.77 = 110.87/x
  3. Step 3: Cross multiply
    113.61x = 155.77 × 110.87
  4. Step 4: Simplify right side
    113.61x = 17,270.75
  5. Step 5: Solve for x
    x = 17,270.75/113.61
  6. Step 6: Final answer
    x = 152.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.