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Finding the Fourth Proportional to 52.08, 78.15 and 21.64

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Solution

The fourth proportional to 52.08, 78.15 and 21.64 is: 32.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.08 : 78.15 = 21.64 : x
  2. Step 2: Convert to fraction form
    52.08/78.15 = 21.64/x
  3. Step 3: Cross multiply
    52.08x = 78.15 × 21.64
  4. Step 4: Simplify right side
    52.08x = 1,690.67
  5. Step 5: Solve for x
    x = 1,690.67/52.08
  6. Step 6: Final answer
    x = 32.47

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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.