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Finding the Fourth Proportional to 35.65, 53.49 and 24.24

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Solution

The fourth proportional to 35.65, 53.49 and 24.24 is: 36.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.65 : 53.49 = 24.24 : x
  2. Step 2: Convert to fraction form
    35.65/53.49 = 24.24/x
  3. Step 3: Cross multiply
    35.65x = 53.49 × 24.24
  4. Step 4: Simplify right side
    35.65x = 1,296.89
  5. Step 5: Solve for x
    x = 1,296.89/35.65
  6. Step 6: Final answer
    x = 36.38

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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.