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Finding the Fourth Proportional to 46.07, 63.59 and 28.59

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Solution

The fourth proportional to 46.07, 63.59 and 28.59 is: 39.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.07 : 63.59 = 28.59 : x
  2. Step 2: Convert to fraction form
    46.07/63.59 = 28.59/x
  3. Step 3: Cross multiply
    46.07x = 63.59 × 28.59
  4. Step 4: Simplify right side
    46.07x = 1,817.66
  5. Step 5: Solve for x
    x = 1,817.66/46.07
  6. Step 6: Final answer
    x = 39.46

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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.