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Finding the Fourth Proportional to 95.70, 144.57 and 95.34

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Solution

The fourth proportional to 95.70, 144.57 and 95.34 is: 144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.70 : 144.57 = 95.34 : x
  2. Step 2: Convert to fraction form
    95.70/144.57 = 95.34/x
  3. Step 3: Cross multiply
    95.70x = 144.57 × 95.34
  4. Step 4: Simplify right side
    95.70x = 13,783.30
  5. Step 5: Solve for x
    x = 13,783.30/95.70
  6. Step 6: Final answer
    x = 144.03

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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.