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Finding the Fourth Proportional to 123.67, 170.76 and 112.69

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Solution

The fourth proportional to 123.67, 170.76 and 112.69 is: 155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.67 : 170.76 = 112.69 : x
  2. Step 2: Convert to fraction form
    123.67/170.76 = 112.69/x
  3. Step 3: Cross multiply
    123.67x = 170.76 × 112.69
  4. Step 4: Simplify right side
    123.67x = 19,242.94
  5. Step 5: Solve for x
    x = 19,242.94/123.67
  6. Step 6: Final answer
    x = 155.60

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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.