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Finding the Fourth Proportional to 53.10, 72.78 and 52.38

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Solution

The fourth proportional to 53.10, 72.78 and 52.38 is: 71.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.10 : 72.78 = 52.38 : x
  2. Step 2: Convert to fraction form
    53.10/72.78 = 52.38/x
  3. Step 3: Cross multiply
    53.10x = 72.78 × 52.38
  4. Step 4: Simplify right side
    53.10x = 3,812.22
  5. Step 5: Solve for x
    x = 3,812.22/53.10
  6. Step 6: Final answer
    x = 71.79

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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.