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Finding the Fourth Proportional to 105.29, 157.53 and 64.74

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Solution

The fourth proportional to 105.29, 157.53 and 64.74 is: 96.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.29 : 157.53 = 64.74 : x
  2. Step 2: Convert to fraction form
    105.29/157.53 = 64.74/x
  3. Step 3: Cross multiply
    105.29x = 157.53 × 64.74
  4. Step 4: Simplify right side
    105.29x = 10,198.13
  5. Step 5: Solve for x
    x = 10,198.13/105.29
  6. Step 6: Final answer
    x = 96.86

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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.