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Finding the Fourth Proportional to 105.42, 145.42 and 61.77

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Solution

The fourth proportional to 105.42, 145.42 and 61.77 is: 85.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.42 : 145.42 = 61.77 : x
  2. Step 2: Convert to fraction form
    105.42/145.42 = 61.77/x
  3. Step 3: Cross multiply
    105.42x = 145.42 × 61.77
  4. Step 4: Simplify right side
    105.42x = 8,982.59
  5. Step 5: Solve for x
    x = 8,982.59/105.42
  6. Step 6: Final answer
    x = 85.21

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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.