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Finding the Fourth Proportional to 48.23, 65.69 and 48.08

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Solution

The fourth proportional to 48.23, 65.69 and 48.08 is: 65.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.23 : 65.69 = 48.08 : x
  2. Step 2: Convert to fraction form
    48.23/65.69 = 48.08/x
  3. Step 3: Cross multiply
    48.23x = 65.69 × 48.08
  4. Step 4: Simplify right side
    48.23x = 3,158.38
  5. Step 5: Solve for x
    x = 3,158.38/48.23
  6. Step 6: Final answer
    x = 65.49

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.