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Finding the Fourth Proportional to 57.78, 79.57 and 52.02

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Solution

The fourth proportional to 57.78, 79.57 and 52.02 is: 71.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.78 : 79.57 = 52.02 : x
  2. Step 2: Convert to fraction form
    57.78/79.57 = 52.02/x
  3. Step 3: Cross multiply
    57.78x = 79.57 × 52.02
  4. Step 4: Simplify right side
    57.78x = 4,139.23
  5. Step 5: Solve for x
    x = 4,139.23/57.78
  6. Step 6: Final answer
    x = 71.64

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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.