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Finding the Fourth Proportional to 74.16, 110.16 and 72.24

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Solution

The fourth proportional to 74.16, 110.16 and 72.24 is: 107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.16 : 110.16 = 72.24 : x
  2. Step 2: Convert to fraction form
    74.16/110.16 = 72.24/x
  3. Step 3: Cross multiply
    74.16x = 110.16 × 72.24
  4. Step 4: Simplify right side
    74.16x = 7,957.96
  5. Step 5: Solve for x
    x = 7,957.96/74.16
  6. Step 6: Final answer
    x = 107.31

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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.