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Finding the Fourth Proportional to 14.76, 22.08 and 13

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Solution

The fourth proportional to 14.76, 22.08 and 13 is: 19.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.76 : 22.08 = 13 : x
  2. Step 2: Convert to fraction form
    14.76/22.08 = 13/x
  3. Step 3: Cross multiply
    14.76x = 22.08 × 13
  4. Step 4: Simplify right side
    14.76x = 287.04
  5. Step 5: Solve for x
    x = 287.04/14.76
  6. Step 6: Final answer
    x = 19.45

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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.