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Finding the Fourth Proportional to 105.16, 157.46 and 61.79

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Solution

The fourth proportional to 105.16, 157.46 and 61.79 is: 92.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.16 : 157.46 = 61.79 : x
  2. Step 2: Convert to fraction form
    105.16/157.46 = 61.79/x
  3. Step 3: Cross multiply
    105.16x = 157.46 × 61.79
  4. Step 4: Simplify right side
    105.16x = 9,729.45
  5. Step 5: Solve for x
    x = 9,729.45/105.16
  6. Step 6: Final answer
    x = 92.52

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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.