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Finding the Fourth Proportional to 46.47, 64.04 and 34.19

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Solution

The fourth proportional to 46.47, 64.04 and 34.19 is: 47.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.47 : 64.04 = 34.19 : x
  2. Step 2: Convert to fraction form
    46.47/64.04 = 34.19/x
  3. Step 3: Cross multiply
    46.47x = 64.04 × 34.19
  4. Step 4: Simplify right side
    46.47x = 2,189.04
  5. Step 5: Solve for x
    x = 2,189.04/46.47
  6. Step 6: Final answer
    x = 47.11

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