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Finding the Fourth Proportional to 53.22, 79.76 and 21.12

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Solution

The fourth proportional to 53.22, 79.76 and 21.12 is: 31.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.22 : 79.76 = 21.12 : x
  2. Step 2: Convert to fraction form
    53.22/79.76 = 21.12/x
  3. Step 3: Cross multiply
    53.22x = 79.76 × 21.12
  4. Step 4: Simplify right side
    53.22x = 1,684.53
  5. Step 5: Solve for x
    x = 1,684.53/53.22
  6. Step 6: Final answer
    x = 31.65

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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.