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Finding the Fourth Proportional to 67.42, 93.04 and 46.70

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Solution

The fourth proportional to 67.42, 93.04 and 46.70 is: 64.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.42 : 93.04 = 46.70 : x
  2. Step 2: Convert to fraction form
    67.42/93.04 = 46.70/x
  3. Step 3: Cross multiply
    67.42x = 93.04 × 46.70
  4. Step 4: Simplify right side
    67.42x = 4,344.97
  5. Step 5: Solve for x
    x = 4,344.97/67.42
  6. Step 6: Final answer
    x = 64.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.