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Finding the Fourth Proportional to 95.06, 142.34 and 78.70

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Solution

The fourth proportional to 95.06, 142.34 and 78.70 is: 117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.06 : 142.34 = 78.70 : x
  2. Step 2: Convert to fraction form
    95.06/142.34 = 78.70/x
  3. Step 3: Cross multiply
    95.06x = 142.34 × 78.70
  4. Step 4: Simplify right side
    95.06x = 11,202.16
  5. Step 5: Solve for x
    x = 11,202.16/95.06
  6. Step 6: Final answer
    x = 117.84

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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.