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Finding the Fourth Proportional to 112.65, 155.41 and 71.22

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Solution

The fourth proportional to 112.65, 155.41 and 71.22 is: 98.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.65 : 155.41 = 71.22 : x
  2. Step 2: Convert to fraction form
    112.65/155.41 = 71.22/x
  3. Step 3: Cross multiply
    112.65x = 155.41 × 71.22
  4. Step 4: Simplify right side
    112.65x = 11,068.30
  5. Step 5: Solve for x
    x = 11,068.30/112.65
  6. Step 6: Final answer
    x = 98.25

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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.