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Finding the Fourth Proportional to 145.41, 200.67 and 79.92

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Solution

The fourth proportional to 145.41, 200.67 and 79.92 is: 110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.41 : 200.67 = 79.92 : x
  2. Step 2: Convert to fraction form
    145.41/200.67 = 79.92/x
  3. Step 3: Cross multiply
    145.41x = 200.67 × 79.92
  4. Step 4: Simplify right side
    145.41x = 16,036.53
  5. Step 5: Solve for x
    x = 16,036.53/145.41
  6. Step 6: Final answer
    x = 110.28

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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.