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Finding the Fourth Proportional to 52.59, 78.82 and 20.50

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Solution

The fourth proportional to 52.59, 78.82 and 20.50 is: 30.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.59 : 78.82 = 20.50 : x
  2. Step 2: Convert to fraction form
    52.59/78.82 = 20.50/x
  3. Step 3: Cross multiply
    52.59x = 78.82 × 20.50
  4. Step 4: Simplify right side
    52.59x = 1,615.81
  5. Step 5: Solve for x
    x = 1,615.81/52.59
  6. Step 6: Final answer
    x = 30.72

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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.