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Finding the Fourth Proportional to 113.64, 155.63 and 109.99

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Solution

The fourth proportional to 113.64, 155.63 and 109.99 is: 150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.64 : 155.63 = 109.99 : x
  2. Step 2: Convert to fraction form
    113.64/155.63 = 109.99/x
  3. Step 3: Cross multiply
    113.64x = 155.63 × 109.99
  4. Step 4: Simplify right side
    113.64x = 17,117.74
  5. Step 5: Solve for x
    x = 17,117.74/113.64
  6. Step 6: Final answer
    x = 150.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.