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Finding the Fourth Proportional to 52.79, 79.06 and 27.02

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Solution

The fourth proportional to 52.79, 79.06 and 27.02 is: 40.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.79 : 79.06 = 27.02 : x
  2. Step 2: Convert to fraction form
    52.79/79.06 = 27.02/x
  3. Step 3: Cross multiply
    52.79x = 79.06 × 27.02
  4. Step 4: Simplify right side
    52.79x = 2,136.20
  5. Step 5: Solve for x
    x = 2,136.20/52.79
  6. Step 6: Final answer
    x = 40.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.