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Finding the Fourth Proportional to 94.56, 142.04 and 70.66

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Solution

The fourth proportional to 94.56, 142.04 and 70.66 is: 106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.56 : 142.04 = 70.66 : x
  2. Step 2: Convert to fraction form
    94.56/142.04 = 70.66/x
  3. Step 3: Cross multiply
    94.56x = 142.04 × 70.66
  4. Step 4: Simplify right side
    94.56x = 10,036.55
  5. Step 5: Solve for x
    x = 10,036.55/94.56
  6. Step 6: Final answer
    x = 106.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.