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Finding the Fourth Proportional to 53.15, 73.31 and 49.10

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Solution

The fourth proportional to 53.15, 73.31 and 49.10 is: 67.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.15 : 73.31 = 49.10 : x
  2. Step 2: Convert to fraction form
    53.15/73.31 = 49.10/x
  3. Step 3: Cross multiply
    53.15x = 73.31 × 49.10
  4. Step 4: Simplify right side
    53.15x = 3,598.91
  5. Step 5: Solve for x
    x = 3,598.91/53.15
  6. Step 6: Final answer
    x = 67.72

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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.