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Finding the Fourth Proportional to 105.65, 145.76 and 83.52

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Solution

The fourth proportional to 105.65, 145.76 and 83.52 is: 115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.65 : 145.76 = 83.52 : x
  2. Step 2: Convert to fraction form
    105.65/145.76 = 83.52/x
  3. Step 3: Cross multiply
    105.65x = 145.76 × 83.52
  4. Step 4: Simplify right side
    105.65x = 12,173.46
  5. Step 5: Solve for x
    x = 12,173.46/105.65
  6. Step 6: Final answer
    x = 115.23

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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.