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Finding the Fourth Proportional to 74.78, 103.14 and 52.91

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Solution

The fourth proportional to 74.78, 103.14 and 52.91 is: 72.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.78 : 103.14 = 52.91 : x
  2. Step 2: Convert to fraction form
    74.78/103.14 = 52.91/x
  3. Step 3: Cross multiply
    74.78x = 103.14 × 52.91
  4. Step 4: Simplify right side
    74.78x = 5,457.14
  5. Step 5: Solve for x
    x = 5,457.14/74.78
  6. Step 6: Final answer
    x = 72.98

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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.