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Finding the Fourth Proportional to 18.60, 27.84 and 9.57

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Solution

The fourth proportional to 18.60, 27.84 and 9.57 is: 14.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.60 : 27.84 = 9.57 : x
  2. Step 2: Convert to fraction form
    18.60/27.84 = 9.57/x
  3. Step 3: Cross multiply
    18.60x = 27.84 × 9.57
  4. Step 4: Simplify right side
    18.60x = 266.43
  5. Step 5: Solve for x
    x = 266.43/18.60
  6. Step 6: Final answer
    x = 14.32

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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.