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Finding the Fourth Proportional to 110.02, 151.84 and 75.10

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Solution

The fourth proportional to 110.02, 151.84 and 75.10 is: 103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.02 : 151.84 = 75.10 : x
  2. Step 2: Convert to fraction form
    110.02/151.84 = 75.10/x
  3. Step 3: Cross multiply
    110.02x = 151.84 × 75.10
  4. Step 4: Simplify right side
    110.02x = 11,403.18
  5. Step 5: Solve for x
    x = 11,403.18/110.02
  6. Step 6: Final answer
    x = 103.65

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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.