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Finding the Fourth Proportional to 5.33, 7.36 and 3.00

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Solution

The fourth proportional to 5.33, 7.36 and 3.00 is: 4.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.33 : 7.36 = 3.00 : x
  2. Step 2: Convert to fraction form
    5.33/7.36 = 3.00/x
  3. Step 3: Cross multiply
    5.33x = 7.36 × 3.00
  4. Step 4: Simplify right side
    5.33x = 22.08
  5. Step 5: Solve for x
    x = 22.08/5.33
  6. Step 6: Final answer
    x = 4.14

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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.