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Finding the Fourth Proportional to 78.46, 116.88 and 73.80

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Solution

The fourth proportional to 78.46, 116.88 and 73.80 is: 109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.46 : 116.88 = 73.80 : x
  2. Step 2: Convert to fraction form
    78.46/116.88 = 73.80/x
  3. Step 3: Cross multiply
    78.46x = 116.88 × 73.80
  4. Step 4: Simplify right side
    78.46x = 8,625.74
  5. Step 5: Solve for x
    x = 8,625.74/78.46
  6. Step 6: Final answer
    x = 109.94

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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.