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Finding the Fourth Proportional to 153.77, 230.22 and 102.30

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Solution

The fourth proportional to 153.77, 230.22 and 102.30 is: 153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.77 : 230.22 = 102.30 : x
  2. Step 2: Convert to fraction form
    153.77/230.22 = 102.30/x
  3. Step 3: Cross multiply
    153.77x = 230.22 × 102.30
  4. Step 4: Simplify right side
    153.77x = 23,551.51
  5. Step 5: Solve for x
    x = 23,551.51/153.77
  6. Step 6: Final answer
    x = 153.17

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Why These Related Problems?

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