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Finding the Fourth Proportional to 53.65, 74.00 and 35.20

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Solution

The fourth proportional to 53.65, 74.00 and 35.20 is: 48.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.65 : 74.00 = 35.20 : x
  2. Step 2: Convert to fraction form
    53.65/74.00 = 35.20/x
  3. Step 3: Cross multiply
    53.65x = 74.00 × 35.20
  4. Step 4: Simplify right side
    53.65x = 2,604.25
  5. Step 5: Solve for x
    x = 2,604.25/53.65
  6. Step 6: Final answer
    x = 48.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.