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Finding the Fourth Proportional to 110.01, 152.10 and 85.44

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Solution

The fourth proportional to 110.01, 152.10 and 85.44 is: 118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.01 : 152.10 = 85.44 : x
  2. Step 2: Convert to fraction form
    110.01/152.10 = 85.44/x
  3. Step 3: Cross multiply
    110.01x = 152.10 × 85.44
  4. Step 4: Simplify right side
    110.01x = 12,995.42
  5. Step 5: Solve for x
    x = 12,995.42/110.01
  6. Step 6: Final answer
    x = 118.13

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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.