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Finding the Fourth Proportional to 123.64, 170.87 and 92.66

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Solution

The fourth proportional to 123.64, 170.87 and 92.66 is: 128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.64 : 170.87 = 92.66 : x
  2. Step 2: Convert to fraction form
    123.64/170.87 = 92.66/x
  3. Step 3: Cross multiply
    123.64x = 170.87 × 92.66
  4. Step 4: Simplify right side
    123.64x = 15,832.81
  5. Step 5: Solve for x
    x = 15,832.81/123.64
  6. Step 6: Final answer
    x = 128.06

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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.