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Finding the Fourth Proportional to 53.06, 79.52 and 24.16

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Solution

The fourth proportional to 53.06, 79.52 and 24.16 is: 36.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.06 : 79.52 = 24.16 : x
  2. Step 2: Convert to fraction form
    53.06/79.52 = 24.16/x
  3. Step 3: Cross multiply
    53.06x = 79.52 × 24.16
  4. Step 4: Simplify right side
    53.06x = 1,921.20
  5. Step 5: Solve for x
    x = 1,921.20/53.06
  6. Step 6: Final answer
    x = 36.21

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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.