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Finding the Fourth Proportional to 53.03, 79.57 and 24.18

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Solution

The fourth proportional to 53.03, 79.57 and 24.18 is: 36.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.03 : 79.57 = 24.18 : x
  2. Step 2: Convert to fraction form
    53.03/79.57 = 24.18/x
  3. Step 3: Cross multiply
    53.03x = 79.57 × 24.18
  4. Step 4: Simplify right side
    53.03x = 1,924.00
  5. Step 5: Solve for x
    x = 1,924.00/53.03
  6. Step 6: Final answer
    x = 36.28

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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.