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Finding the Fourth Proportional to 52.01, 78.00 and 21.57

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Solution

The fourth proportional to 52.01, 78.00 and 21.57 is: 32.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.01 : 78.00 = 21.57 : x
  2. Step 2: Convert to fraction form
    52.01/78.00 = 21.57/x
  3. Step 3: Cross multiply
    52.01x = 78.00 × 21.57
  4. Step 4: Simplify right side
    52.01x = 1,682.09
  5. Step 5: Solve for x
    x = 1,682.09/52.01
  6. Step 6: Final answer
    x = 32.34

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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.