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Finding the Fourth Proportional to 46.46, 69.36 and 39.60

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Solution

The fourth proportional to 46.46, 69.36 and 39.60 is: 59.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.46 : 69.36 = 39.60 : x
  2. Step 2: Convert to fraction form
    46.46/69.36 = 39.60/x
  3. Step 3: Cross multiply
    46.46x = 69.36 × 39.60
  4. Step 4: Simplify right side
    46.46x = 2,746.66
  5. Step 5: Solve for x
    x = 2,746.66/46.46
  6. Step 6: Final answer
    x = 59.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.