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Finding the Fourth Proportional to 79.15, 118.42 and 53.35

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Solution

The fourth proportional to 79.15, 118.42 and 53.35 is: 79.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.15 : 118.42 = 53.35 : x
  2. Step 2: Convert to fraction form
    79.15/118.42 = 53.35/x
  3. Step 3: Cross multiply
    79.15x = 118.42 × 53.35
  4. Step 4: Simplify right side
    79.15x = 6,317.92
  5. Step 5: Solve for x
    x = 6,317.92/79.15
  6. Step 6: Final answer
    x = 79.82

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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.