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Finding the Fourth Proportional to 78.25, 116.96 and 70.52

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Solution

The fourth proportional to 78.25, 116.96 and 70.52 is: 105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.25 : 116.96 = 70.52 : x
  2. Step 2: Convert to fraction form
    78.25/116.96 = 70.52/x
  3. Step 3: Cross multiply
    78.25x = 116.96 × 70.52
  4. Step 4: Simplify right side
    78.25x = 8,248.49
  5. Step 5: Solve for x
    x = 8,248.49/78.25
  6. Step 6: Final answer
    x = 105.41

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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.