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Finding the Fourth Proportional to 52.70, 78.91 and 43.65

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Solution

The fourth proportional to 52.70, 78.91 and 43.65 is: 65.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.70 : 78.91 = 43.65 : x
  2. Step 2: Convert to fraction form
    52.70/78.91 = 43.65/x
  3. Step 3: Cross multiply
    52.70x = 78.91 × 43.65
  4. Step 4: Simplify right side
    52.70x = 3,444.20
  5. Step 5: Solve for x
    x = 3,444.20/52.70
  6. Step 6: Final answer
    x = 65.36

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