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Finding the Fourth Proportional to 46.69, 64.27 and 42.59

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Solution

The fourth proportional to 46.69, 64.27 and 42.59 is: 58.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.69 : 64.27 = 42.59 : x
  2. Step 2: Convert to fraction form
    46.69/64.27 = 42.59/x
  3. Step 3: Cross multiply
    46.69x = 64.27 × 42.59
  4. Step 4: Simplify right side
    46.69x = 2,737.47
  5. Step 5: Solve for x
    x = 2,737.47/46.69
  6. Step 6: Final answer
    x = 58.63

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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.