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Finding the Fourth Proportional to 105.26, 145.24 and 66.50

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Solution

The fourth proportional to 105.26, 145.24 and 66.50 is: 91.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.26 : 145.24 = 66.50 : x
  2. Step 2: Convert to fraction form
    105.26/145.24 = 66.50/x
  3. Step 3: Cross multiply
    105.26x = 145.24 × 66.50
  4. Step 4: Simplify right side
    105.26x = 9,658.46
  5. Step 5: Solve for x
    x = 9,658.46/105.26
  6. Step 6: Final answer
    x = 91.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.