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Finding the Fourth Proportional to 153.74, 230.58 and 45.51

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Solution

The fourth proportional to 153.74, 230.58 and 45.51 is: 68.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.74 : 230.58 = 45.51 : x
  2. Step 2: Convert to fraction form
    153.74/230.58 = 45.51/x
  3. Step 3: Cross multiply
    153.74x = 230.58 × 45.51
  4. Step 4: Simplify right side
    153.74x = 10,493.70
  5. Step 5: Solve for x
    x = 10,493.70/153.74
  6. Step 6: Final answer
    x = 68.26

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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.