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Finding the Fourth Proportional to 67.94, 101.45 and 46.10

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Solution

The fourth proportional to 67.94, 101.45 and 46.10 is: 68.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.94 : 101.45 = 46.10 : x
  2. Step 2: Convert to fraction form
    67.94/101.45 = 46.10/x
  3. Step 3: Cross multiply
    67.94x = 101.45 × 46.10
  4. Step 4: Simplify right side
    67.94x = 4,677.21
  5. Step 5: Solve for x
    x = 4,677.21/67.94
  6. Step 6: Final answer
    x = 68.84

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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.