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Finding the Fourth Proportional to 155.02, 213.87 and 89.50

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Solution

The fourth proportional to 155.02, 213.87 and 89.50 is: 123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.02 : 213.87 = 89.50 : x
  2. Step 2: Convert to fraction form
    155.02/213.87 = 89.50/x
  3. Step 3: Cross multiply
    155.02x = 213.87 × 89.50
  4. Step 4: Simplify right side
    155.02x = 19,141.37
  5. Step 5: Solve for x
    x = 19,141.37/155.02
  6. Step 6: Final answer
    x = 123.48

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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.