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Finding the Fourth Proportional to 69.02, 95.16 and 49.32

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Solution

The fourth proportional to 69.02, 95.16 and 49.32 is: 68.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.02 : 95.16 = 49.32 : x
  2. Step 2: Convert to fraction form
    69.02/95.16 = 49.32/x
  3. Step 3: Cross multiply
    69.02x = 95.16 × 49.32
  4. Step 4: Simplify right side
    69.02x = 4,693.29
  5. Step 5: Solve for x
    x = 4,693.29/69.02
  6. Step 6: Final answer
    x = 68.00

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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.