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Finding the Fourth Proportional to 95.69, 143.60 and 52.40

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Solution

The fourth proportional to 95.69, 143.60 and 52.40 is: 78.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.69 : 143.60 = 52.40 : x
  2. Step 2: Convert to fraction form
    95.69/143.60 = 52.40/x
  3. Step 3: Cross multiply
    95.69x = 143.60 × 52.40
  4. Step 4: Simplify right side
    95.69x = 7,523.66
  5. Step 5: Solve for x
    x = 7,523.66/95.69
  6. Step 6: Final answer
    x = 78.63

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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.