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Finding the Fourth Proportional to 105.65, 145.78 and 61.98

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Solution

The fourth proportional to 105.65, 145.78 and 61.98 is: 85.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.65 : 145.78 = 61.98 : x
  2. Step 2: Convert to fraction form
    105.65/145.78 = 61.98/x
  3. Step 3: Cross multiply
    105.65x = 145.78 × 61.98
  4. Step 4: Simplify right side
    105.65x = 9,035.44
  5. Step 5: Solve for x
    x = 9,035.44/105.65
  6. Step 6: Final answer
    x = 85.52

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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.