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Finding the Fourth Proportional to 14.64, 21.95 and 10.14

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Solution

The fourth proportional to 14.64, 21.95 and 10.14 is: 15.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.64 : 21.95 = 10.14 : x
  2. Step 2: Convert to fraction form
    14.64/21.95 = 10.14/x
  3. Step 3: Cross multiply
    14.64x = 21.95 × 10.14
  4. Step 4: Simplify right side
    14.64x = 222.52
  5. Step 5: Solve for x
    x = 222.52/14.64
  6. Step 6: Final answer
    x = 15.20

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