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Finding the Fourth Proportional to 74.84, 111.72 and 67.46

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Solution

The fourth proportional to 74.84, 111.72 and 67.46 is: 100.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.84 : 111.72 = 67.46 : x
  2. Step 2: Convert to fraction form
    74.84/111.72 = 67.46/x
  3. Step 3: Cross multiply
    74.84x = 111.72 × 67.46
  4. Step 4: Simplify right side
    74.84x = 7,536.63
  5. Step 5: Solve for x
    x = 7,536.63/74.84
  6. Step 6: Final answer
    x = 100.70

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