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Finding the Fourth Proportional to 105.78, 145.96 and 61.53

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Solution

The fourth proportional to 105.78, 145.96 and 61.53 is: 84.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.78 : 145.96 = 61.53 : x
  2. Step 2: Convert to fraction form
    105.78/145.96 = 61.53/x
  3. Step 3: Cross multiply
    105.78x = 145.96 × 61.53
  4. Step 4: Simplify right side
    105.78x = 8,980.92
  5. Step 5: Solve for x
    x = 8,980.92/105.78
  6. Step 6: Final answer
    x = 84.90

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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.