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Finding the Fourth Proportional to 46.40, 63.95 and 32.60

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Solution

The fourth proportional to 46.40, 63.95 and 32.60 is: 44.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.40 : 63.95 = 32.60 : x
  2. Step 2: Convert to fraction form
    46.40/63.95 = 32.60/x
  3. Step 3: Cross multiply
    46.40x = 63.95 × 32.60
  4. Step 4: Simplify right side
    46.40x = 2,084.77
  5. Step 5: Solve for x
    x = 2,084.77/46.40
  6. Step 6: Final answer
    x = 44.94

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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.