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Finding the Fourth Proportional to 78.03, 117.50 and 70.61

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Solution

The fourth proportional to 78.03, 117.50 and 70.61 is: 106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.03 : 117.50 = 70.61 : x
  2. Step 2: Convert to fraction form
    78.03/117.50 = 70.61/x
  3. Step 3: Cross multiply
    78.03x = 117.50 × 70.61
  4. Step 4: Simplify right side
    78.03x = 8,295.73
  5. Step 5: Solve for x
    x = 8,295.73/78.03
  6. Step 6: Final answer
    x = 106.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.