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Finding the Fourth Proportional to 78.81, 108.61 and 61.30

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Solution

The fourth proportional to 78.81, 108.61 and 61.30 is: 84.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.81 : 108.61 = 61.30 : x
  2. Step 2: Convert to fraction form
    78.81/108.61 = 61.30/x
  3. Step 3: Cross multiply
    78.81x = 108.61 × 61.30
  4. Step 4: Simplify right side
    78.81x = 6,657.79
  5. Step 5: Solve for x
    x = 6,657.79/78.81
  6. Step 6: Final answer
    x = 84.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.