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Finding the Fourth Proportional to 52.05, 78.07 and 21.64

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Solution

The fourth proportional to 52.05, 78.07 and 21.64 is: 32.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.05 : 78.07 = 21.64 : x
  2. Step 2: Convert to fraction form
    52.05/78.07 = 21.64/x
  3. Step 3: Cross multiply
    52.05x = 78.07 × 21.64
  4. Step 4: Simplify right side
    52.05x = 1,689.33
  5. Step 5: Solve for x
    x = 1,689.33/52.05
  6. Step 6: Final answer
    x = 32.46

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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.