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Finding the Fourth Proportional to 105.22, 145.20 and 61.53

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Solution

The fourth proportional to 105.22, 145.20 and 61.53 is: 84.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.22 : 145.20 = 61.53 : x
  2. Step 2: Convert to fraction form
    105.22/145.20 = 61.53/x
  3. Step 3: Cross multiply
    105.22x = 145.20 × 61.53
  4. Step 4: Simplify right side
    105.22x = 8,934.16
  5. Step 5: Solve for x
    x = 8,934.16/105.22
  6. Step 6: Final answer
    x = 84.91

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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.