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Finding the Fourth Proportional to 155.18, 214.11 and 89.67

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Solution

The fourth proportional to 155.18, 214.11 and 89.67 is: 123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.18 : 214.11 = 89.67 : x
  2. Step 2: Convert to fraction form
    155.18/214.11 = 89.67/x
  3. Step 3: Cross multiply
    155.18x = 214.11 × 89.67
  4. Step 4: Simplify right side
    155.18x = 19,199.24
  5. Step 5: Solve for x
    x = 19,199.24/155.18
  6. Step 6: Final answer
    x = 123.72

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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.