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Finding the Fourth Proportional to 105.84, 145.96 and 79.52

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Solution

The fourth proportional to 105.84, 145.96 and 79.52 is: 109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.84 : 145.96 = 79.52 : x
  2. Step 2: Convert to fraction form
    105.84/145.96 = 79.52/x
  3. Step 3: Cross multiply
    105.84x = 145.96 × 79.52
  4. Step 4: Simplify right side
    105.84x = 11,606.74
  5. Step 5: Solve for x
    x = 11,606.74/105.84
  6. Step 6: Final answer
    x = 109.66

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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.