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Finding the Fourth Proportional to 94.80, 141.52 and 78.56

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Solution

The fourth proportional to 94.80, 141.52 and 78.56 is: 117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.80 : 141.52 = 78.56 : x
  2. Step 2: Convert to fraction form
    94.80/141.52 = 78.56/x
  3. Step 3: Cross multiply
    94.80x = 141.52 × 78.56
  4. Step 4: Simplify right side
    94.80x = 11,117.81
  5. Step 5: Solve for x
    x = 11,117.81/94.80
  6. Step 6: Final answer
    x = 117.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.