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Finding the Fourth Proportional to 46.62, 64.08 and 42.08

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Solution

The fourth proportional to 46.62, 64.08 and 42.08 is: 57.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.62 : 64.08 = 42.08 : x
  2. Step 2: Convert to fraction form
    46.62/64.08 = 42.08/x
  3. Step 3: Cross multiply
    46.62x = 64.08 × 42.08
  4. Step 4: Simplify right side
    46.62x = 2,696.17
  5. Step 5: Solve for x
    x = 2,696.17/46.62
  6. Step 6: Final answer
    x = 57.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.