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Finding the Fourth Proportional to 57.62, 78.42 and 57.36

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Solution

The fourth proportional to 57.62, 78.42 and 57.36 is: 78.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.62 : 78.42 = 57.36 : x
  2. Step 2: Convert to fraction form
    57.62/78.42 = 57.36/x
  3. Step 3: Cross multiply
    57.62x = 78.42 × 57.36
  4. Step 4: Simplify right side
    57.62x = 4,498.17
  5. Step 5: Solve for x
    x = 4,498.17/57.62
  6. Step 6: Final answer
    x = 78.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.