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Finding the Fourth Proportional to 7.37, 11.00 and 7.16

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Solution

The fourth proportional to 7.37, 11.00 and 7.16 is: 10.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.37 : 11.00 = 7.16 : x
  2. Step 2: Convert to fraction form
    7.37/11.00 = 7.16/x
  3. Step 3: Cross multiply
    7.37x = 11.00 × 7.16
  4. Step 4: Simplify right side
    7.37x = 78.75
  5. Step 5: Solve for x
    x = 78.75/7.37
  6. Step 6: Final answer
    x = 10.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.