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Finding the Fourth Proportional to 46.08, 68.76 and 45.16

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Solution

The fourth proportional to 46.08, 68.76 and 45.16 is: 67.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.08 : 68.76 = 45.16 : x
  2. Step 2: Convert to fraction form
    46.08/68.76 = 45.16/x
  3. Step 3: Cross multiply
    46.08x = 68.76 × 45.16
  4. Step 4: Simplify right side
    46.08x = 3,105.20
  5. Step 5: Solve for x
    x = 3,105.20/46.08
  6. Step 6: Final answer
    x = 67.39

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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.