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Finding the Fourth Proportional to 110.12, 151.16 and 106.07

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Solution

The fourth proportional to 110.12, 151.16 and 106.07 is: 145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.12 : 151.16 = 106.07 : x
  2. Step 2: Convert to fraction form
    110.12/151.16 = 106.07/x
  3. Step 3: Cross multiply
    110.12x = 151.16 × 106.07
  4. Step 4: Simplify right side
    110.12x = 16,032.26
  5. Step 5: Solve for x
    x = 16,032.26/110.12
  6. Step 6: Final answer
    x = 145.60

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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.