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Finding the Fourth Proportional to 74.12, 110.63 and 65.47

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Solution

The fourth proportional to 74.12, 110.63 and 65.47 is: 97.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.12 : 110.63 = 65.47 : x
  2. Step 2: Convert to fraction form
    74.12/110.63 = 65.47/x
  3. Step 3: Cross multiply
    74.12x = 110.63 × 65.47
  4. Step 4: Simplify right side
    74.12x = 7,242.34
  5. Step 5: Solve for x
    x = 7,242.34/74.12
  6. Step 6: Final answer
    x = 97.72

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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.