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Finding the Fourth Proportional to 46.32, 69.35 and 30.02

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Solution

The fourth proportional to 46.32, 69.35 and 30.02 is: 44.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.32 : 69.35 = 30.02 : x
  2. Step 2: Convert to fraction form
    46.32/69.35 = 30.02/x
  3. Step 3: Cross multiply
    46.32x = 69.35 × 30.02
  4. Step 4: Simplify right side
    46.32x = 2,082.10
  5. Step 5: Solve for x
    x = 2,082.10/46.32
  6. Step 6: Final answer
    x = 44.95

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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.