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Finding the Fourth Proportional to 69.99, 96.63 and 46.72

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Solution

The fourth proportional to 69.99, 96.63 and 46.72 is: 64.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.99 : 96.63 = 46.72 : x
  2. Step 2: Convert to fraction form
    69.99/96.63 = 46.72/x
  3. Step 3: Cross multiply
    69.99x = 96.63 × 46.72
  4. Step 4: Simplify right side
    69.99x = 4,514.62
  5. Step 5: Solve for x
    x = 4,514.62/69.99
  6. Step 6: Final answer
    x = 64.50

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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.