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Finding the Fourth Proportional to 74.36, 110.52 and 72.34

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Solution

The fourth proportional to 74.36, 110.52 and 72.34 is: 107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.36 : 110.52 = 72.34 : x
  2. Step 2: Convert to fraction form
    74.36/110.52 = 72.34/x
  3. Step 3: Cross multiply
    74.36x = 110.52 × 72.34
  4. Step 4: Simplify right side
    74.36x = 7,995.02
  5. Step 5: Solve for x
    x = 7,995.02/74.36
  6. Step 6: Final answer
    x = 107.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.