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Finding the Fourth Proportional to 78.48, 117.84 and 54.57

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Solution

The fourth proportional to 78.48, 117.84 and 54.57 is: 81.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.48 : 117.84 = 54.57 : x
  2. Step 2: Convert to fraction form
    78.48/117.84 = 54.57/x
  3. Step 3: Cross multiply
    78.48x = 117.84 × 54.57
  4. Step 4: Simplify right side
    78.48x = 6,430.53
  5. Step 5: Solve for x
    x = 6,430.53/78.48
  6. Step 6: Final answer
    x = 81.94

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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.