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Finding the Fourth Proportional to 79.93, 110.29 and 53.74

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Solution

The fourth proportional to 79.93, 110.29 and 53.74 is: 74.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.93 : 110.29 = 53.74 : x
  2. Step 2: Convert to fraction form
    79.93/110.29 = 53.74/x
  3. Step 3: Cross multiply
    79.93x = 110.29 × 53.74
  4. Step 4: Simplify right side
    79.93x = 5,927.09
  5. Step 5: Solve for x
    x = 5,927.09/79.93
  6. Step 6: Final answer
    x = 74.15

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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.