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Finding the Fourth Proportional to 9.02, 13.53 and 4.14

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Solution

The fourth proportional to 9.02, 13.53 and 4.14 is: 6.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.02 : 13.53 = 4.14 : x
  2. Step 2: Convert to fraction form
    9.02/13.53 = 4.14/x
  3. Step 3: Cross multiply
    9.02x = 13.53 × 4.14
  4. Step 4: Simplify right side
    9.02x = 56.01
  5. Step 5: Solve for x
    x = 56.01/9.02
  6. Step 6: Final answer
    x = 6.21

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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.