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Finding the Fourth Proportional to 113.64, 156.87 and 69.99

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Solution

The fourth proportional to 113.64, 156.87 and 69.99 is: 96.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.64 : 156.87 = 69.99 : x
  2. Step 2: Convert to fraction form
    113.64/156.87 = 69.99/x
  3. Step 3: Cross multiply
    113.64x = 156.87 × 69.99
  4. Step 4: Simplify right side
    113.64x = 10,979.33
  5. Step 5: Solve for x
    x = 10,979.33/113.64
  6. Step 6: Final answer
    x = 96.62

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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.