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Finding the Fourth Proportional to 15.80, 22.85 and 15.80

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Solution

The fourth proportional to 15.80, 22.85 and 15.80 is: 22.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.80 : 22.85 = 15.80 : x
  2. Step 2: Convert to fraction form
    15.80/22.85 = 15.80/x
  3. Step 3: Cross multiply
    15.80x = 22.85 × 15.80
  4. Step 4: Simplify right side
    15.80x = 361.03
  5. Step 5: Solve for x
    x = 361.03/15.80
  6. Step 6: Final answer
    x = 22.85

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.