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Finding the Fourth Proportional to 110.26, 152.32 and 87.02

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Solution

The fourth proportional to 110.26, 152.32 and 87.02 is: 120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.26 : 152.32 = 87.02 : x
  2. Step 2: Convert to fraction form
    110.26/152.32 = 87.02/x
  3. Step 3: Cross multiply
    110.26x = 152.32 × 87.02
  4. Step 4: Simplify right side
    110.26x = 13,254.89
  5. Step 5: Solve for x
    x = 13,254.89/110.26
  6. Step 6: Final answer
    x = 120.21

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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.