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Finding the Fourth Proportional to 153.80, 230.63 and 51.06

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Solution

The fourth proportional to 153.80, 230.63 and 51.06 is: 76.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.80 : 230.63 = 51.06 : x
  2. Step 2: Convert to fraction form
    153.80/230.63 = 51.06/x
  3. Step 3: Cross multiply
    153.80x = 230.63 × 51.06
  4. Step 4: Simplify right side
    153.80x = 11,775.97
  5. Step 5: Solve for x
    x = 11,775.97/153.80
  6. Step 6: Final answer
    x = 76.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.