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Finding the Fourth Proportional to 78.20, 117.37 and 56.58

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Solution

The fourth proportional to 78.20, 117.37 and 56.58 is: 84.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.20 : 117.37 = 56.58 : x
  2. Step 2: Convert to fraction form
    78.20/117.37 = 56.58/x
  3. Step 3: Cross multiply
    78.20x = 117.37 × 56.58
  4. Step 4: Simplify right side
    78.20x = 6,640.79
  5. Step 5: Solve for x
    x = 6,640.79/78.20
  6. Step 6: Final answer
    x = 84.92

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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.