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Finding the Fourth Proportional to 52.94, 72.54 and 52.47

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Solution

The fourth proportional to 52.94, 72.54 and 52.47 is: 71.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.94 : 72.54 = 52.47 : x
  2. Step 2: Convert to fraction form
    52.94/72.54 = 52.47/x
  3. Step 3: Cross multiply
    52.94x = 72.54 × 52.47
  4. Step 4: Simplify right side
    52.94x = 3,806.17
  5. Step 5: Solve for x
    x = 3,806.17/52.94
  6. Step 6: Final answer
    x = 71.89

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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.