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Finding the Fourth Proportional to 46.02, 69.30 and 34.08

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Solution

The fourth proportional to 46.02, 69.30 and 34.08 is: 51.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.02 : 69.30 = 34.08 : x
  2. Step 2: Convert to fraction form
    46.02/69.30 = 34.08/x
  3. Step 3: Cross multiply
    46.02x = 69.30 × 34.08
  4. Step 4: Simplify right side
    46.02x = 2,361.74
  5. Step 5: Solve for x
    x = 2,361.74/46.02
  6. Step 6: Final answer
    x = 51.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.