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Finding the Fourth Proportional to 12.95, 17.90 and 9.53

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Solution

The fourth proportional to 12.95, 17.90 and 9.53 is: 13.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.95 : 17.90 = 9.53 : x
  2. Step 2: Convert to fraction form
    12.95/17.90 = 9.53/x
  3. Step 3: Cross multiply
    12.95x = 17.90 × 9.53
  4. Step 4: Simplify right side
    12.95x = 170.61
  5. Step 5: Solve for x
    x = 170.61/12.95
  6. Step 6: Final answer
    x = 13.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.