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Finding the Fourth Proportional to 78.24, 116.73 and 71.40

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Solution

The fourth proportional to 78.24, 116.73 and 71.40 is: 106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.24 : 116.73 = 71.40 : x
  2. Step 2: Convert to fraction form
    78.24/116.73 = 71.40/x
  3. Step 3: Cross multiply
    78.24x = 116.73 × 71.40
  4. Step 4: Simplify right side
    78.24x = 8,334.52
  5. Step 5: Solve for x
    x = 8,334.52/78.24
  6. Step 6: Final answer
    x = 106.53

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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.