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Finding the Fourth Proportional to 110.06, 151.84 and 73.18

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Solution

The fourth proportional to 110.06, 151.84 and 73.18 is: 100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.06 : 151.84 = 73.18 : x
  2. Step 2: Convert to fraction form
    110.06/151.84 = 73.18/x
  3. Step 3: Cross multiply
    110.06x = 151.84 × 73.18
  4. Step 4: Simplify right side
    110.06x = 11,111.65
  5. Step 5: Solve for x
    x = 11,111.65/110.06
  6. Step 6: Final answer
    x = 100.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.