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Finding the Fourth Proportional to 46.02, 69.06 and 23.17

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Solution

The fourth proportional to 46.02, 69.06 and 23.17 is: 34.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.02 : 69.06 = 23.17 : x
  2. Step 2: Convert to fraction form
    46.02/69.06 = 23.17/x
  3. Step 3: Cross multiply
    46.02x = 69.06 × 23.17
  4. Step 4: Simplify right side
    46.02x = 1,600.00
  5. Step 5: Solve for x
    x = 1,600.00/46.02
  6. Step 6: Final answer
    x = 34.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.