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Finding the Fourth Proportional to 53.08, 79.67 and 22.66

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Solution

The fourth proportional to 53.08, 79.67 and 22.66 is: 34.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.08 : 79.67 = 22.66 : x
  2. Step 2: Convert to fraction form
    53.08/79.67 = 22.66/x
  3. Step 3: Cross multiply
    53.08x = 79.67 × 22.66
  4. Step 4: Simplify right side
    53.08x = 1,805.32
  5. Step 5: Solve for x
    x = 1,805.32/53.08
  6. Step 6: Final answer
    x = 34.01

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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.