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Finding the Fourth Proportional to 69.42, 104 and 46.53

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Solution

The fourth proportional to 69.42, 104 and 46.53 is: 69.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.42 : 104 = 46.53 : x
  2. Step 2: Convert to fraction form
    69.42/104 = 46.53/x
  3. Step 3: Cross multiply
    69.42x = 104 × 46.53
  4. Step 4: Simplify right side
    69.42x = 4,838.60
  5. Step 5: Solve for x
    x = 4,838.60/69.42
  6. Step 6: Final answer
    x = 69.70

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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.