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Finding the Fourth Proportional to 155.96, 215.07 and 99.89

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Solution

The fourth proportional to 155.96, 215.07 and 99.89 is: 137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.96 : 215.07 = 99.89 : x
  2. Step 2: Convert to fraction form
    155.96/215.07 = 99.89/x
  3. Step 3: Cross multiply
    155.96x = 215.07 × 99.89
  4. Step 4: Simplify right side
    155.96x = 21,482.27
  5. Step 5: Solve for x
    x = 21,482.27/155.96
  6. Step 6: Final answer
    x = 137.75

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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.