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Finding the Fourth Proportional to 46.17, 69.15 and 27.84

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Solution

The fourth proportional to 46.17, 69.15 and 27.84 is: 41.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.17 : 69.15 = 27.84 : x
  2. Step 2: Convert to fraction form
    46.17/69.15 = 27.84/x
  3. Step 3: Cross multiply
    46.17x = 69.15 × 27.84
  4. Step 4: Simplify right side
    46.17x = 1,925.50
  5. Step 5: Solve for x
    x = 1,925.50/46.17
  6. Step 6: Final answer
    x = 41.70

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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.