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Finding the Fourth Proportional to 95.46, 143.09 and 37.66

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Solution

The fourth proportional to 95.46, 143.09 and 37.66 is: 56.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.46 : 143.09 = 37.66 : x
  2. Step 2: Convert to fraction form
    95.46/143.09 = 37.66/x
  3. Step 3: Cross multiply
    95.46x = 143.09 × 37.66
  4. Step 4: Simplify right side
    95.46x = 5,388.51
  5. Step 5: Solve for x
    x = 5,388.51/95.46
  6. Step 6: Final answer
    x = 56.45

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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.