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Finding the Fourth Proportional to 53.16, 72.99 and 49.29

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Solution

The fourth proportional to 53.16, 72.99 and 49.29 is: 67.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.16 : 72.99 = 49.29 : x
  2. Step 2: Convert to fraction form
    53.16/72.99 = 49.29/x
  3. Step 3: Cross multiply
    53.16x = 72.99 × 49.29
  4. Step 4: Simplify right side
    53.16x = 3,597.68
  5. Step 5: Solve for x
    x = 3,597.68/53.16
  6. Step 6: Final answer
    x = 67.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.