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Finding the Fourth Proportional to 53.02, 73.19 and 35.78

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Solution

The fourth proportional to 53.02, 73.19 and 35.78 is: 49.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.02 : 73.19 = 35.78 : x
  2. Step 2: Convert to fraction form
    53.02/73.19 = 35.78/x
  3. Step 3: Cross multiply
    53.02x = 73.19 × 35.78
  4. Step 4: Simplify right side
    53.02x = 2,618.74
  5. Step 5: Solve for x
    x = 2,618.74/53.02
  6. Step 6: Final answer
    x = 49.39

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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.