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Finding the Fourth Proportional to 155.16, 213.99 and 113.20

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Solution

The fourth proportional to 155.16, 213.99 and 113.20 is: 156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.16 : 213.99 = 113.20 : x
  2. Step 2: Convert to fraction form
    155.16/213.99 = 113.20/x
  3. Step 3: Cross multiply
    155.16x = 213.99 × 113.20
  4. Step 4: Simplify right side
    155.16x = 24,223.67
  5. Step 5: Solve for x
    x = 24,223.67/155.16
  6. Step 6: Final answer
    x = 156.12

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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.