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Finding the Fourth Proportional to 46.57, 64.23 and 42.02

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Solution

The fourth proportional to 46.57, 64.23 and 42.02 is: 57.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.57 : 64.23 = 42.02 : x
  2. Step 2: Convert to fraction form
    46.57/64.23 = 42.02/x
  3. Step 3: Cross multiply
    46.57x = 64.23 × 42.02
  4. Step 4: Simplify right side
    46.57x = 2,698.41
  5. Step 5: Solve for x
    x = 2,698.41/46.57
  6. Step 6: Final answer
    x = 57.94

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Why These Related Problems?

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