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Finding the Fourth Proportional to 105.47, 157.74 and 95.77

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Solution

The fourth proportional to 105.47, 157.74 and 95.77 is: 143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.47 : 157.74 = 95.77 : x
  2. Step 2: Convert to fraction form
    105.47/157.74 = 95.77/x
  3. Step 3: Cross multiply
    105.47x = 157.74 × 95.77
  4. Step 4: Simplify right side
    105.47x = 15,105.97
  5. Step 5: Solve for x
    x = 15,105.97/105.47
  6. Step 6: Final answer
    x = 143.23

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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.