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Finding the Fourth Proportional to 94.01, 129.72 and 56.66

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Solution

The fourth proportional to 94.01, 129.72 and 56.66 is: 78.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.01 : 129.72 = 56.66 : x
  2. Step 2: Convert to fraction form
    94.01/129.72 = 56.66/x
  3. Step 3: Cross multiply
    94.01x = 129.72 × 56.66
  4. Step 4: Simplify right side
    94.01x = 7,349.94
  5. Step 5: Solve for x
    x = 7,349.94/94.01
  6. Step 6: Final answer
    x = 78.18

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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.