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Finding the Fourth Proportional to 95.40, 142.86 and 52.60

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Solution

The fourth proportional to 95.40, 142.86 and 52.60 is: 78.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.40 : 142.86 = 52.60 : x
  2. Step 2: Convert to fraction form
    95.40/142.86 = 52.60/x
  3. Step 3: Cross multiply
    95.40x = 142.86 × 52.60
  4. Step 4: Simplify right side
    95.40x = 7,514.44
  5. Step 5: Solve for x
    x = 7,514.44/95.40
  6. Step 6: Final answer
    x = 78.77

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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.