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Finding the Fourth Proportional to 52.56, 78.64 and 32.00

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Solution

The fourth proportional to 52.56, 78.64 and 32.00 is: 47.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.56 : 78.64 = 32.00 : x
  2. Step 2: Convert to fraction form
    52.56/78.64 = 32.00/x
  3. Step 3: Cross multiply
    52.56x = 78.64 × 32.00
  4. Step 4: Simplify right side
    52.56x = 2,516.01
  5. Step 5: Solve for x
    x = 2,516.01/52.56
  6. Step 6: Final answer
    x = 47.87

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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.