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Finding the Fourth Proportional to 52.86, 79.44 and 52.32

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Solution

The fourth proportional to 52.86, 79.44 and 52.32 is: 78.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.86 : 79.44 = 52.32 : x
  2. Step 2: Convert to fraction form
    52.86/79.44 = 52.32/x
  3. Step 3: Cross multiply
    52.86x = 79.44 × 52.32
  4. Step 4: Simplify right side
    52.86x = 4,156.30
  5. Step 5: Solve for x
    x = 4,156.30/52.86
  6. Step 6: Final answer
    x = 78.63

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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.