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Finding the Fourth Proportional to 53.07, 72.82 and 52.16

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Solution

The fourth proportional to 53.07, 72.82 and 52.16 is: 71.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.07 : 72.82 = 52.16 : x
  2. Step 2: Convert to fraction form
    53.07/72.82 = 52.16/x
  3. Step 3: Cross multiply
    53.07x = 72.82 × 52.16
  4. Step 4: Simplify right side
    53.07x = 3,798.40
  5. Step 5: Solve for x
    x = 3,798.40/53.07
  6. Step 6: Final answer
    x = 71.57

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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.