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Finding the Fourth Proportional to 79.54, 118.30 and 78.01

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Solution

The fourth proportional to 79.54, 118.30 and 78.01 is: 116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.54 : 118.30 = 78.01 : x
  2. Step 2: Convert to fraction form
    79.54/118.30 = 78.01/x
  3. Step 3: Cross multiply
    79.54x = 118.30 × 78.01
  4. Step 4: Simplify right side
    79.54x = 9,228.58
  5. Step 5: Solve for x
    x = 9,228.58/79.54
  6. Step 6: Final answer
    x = 116.02

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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.