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Finding the Fourth Proportional to 52.00, 78.02 and 21.59

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Solution

The fourth proportional to 52.00, 78.02 and 21.59 is: 32.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.00 : 78.02 = 21.59 : x
  2. Step 2: Convert to fraction form
    52.00/78.02 = 21.59/x
  3. Step 3: Cross multiply
    52.00x = 78.02 × 21.59
  4. Step 4: Simplify right side
    52.00x = 1,684.12
  5. Step 5: Solve for x
    x = 1,684.12/52.00
  6. Step 6: Final answer
    x = 32.39

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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.