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Finding the Fourth Proportional to 153.51, 230.06 and 89.43

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Solution

The fourth proportional to 153.51, 230.06 and 89.43 is: 134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.51 : 230.06 = 89.43 : x
  2. Step 2: Convert to fraction form
    153.51/230.06 = 89.43/x
  3. Step 3: Cross multiply
    153.51x = 230.06 × 89.43
  4. Step 4: Simplify right side
    153.51x = 20,573.82
  5. Step 5: Solve for x
    x = 20,573.82/153.51
  6. Step 6: Final answer
    x = 134.02

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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.