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Finding the Fourth Proportional to 153.54, 230.34 and 62.25

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Solution

The fourth proportional to 153.54, 230.34 and 62.25 is: 93.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.54 : 230.34 = 62.25 : x
  2. Step 2: Convert to fraction form
    153.54/230.34 = 62.25/x
  3. Step 3: Cross multiply
    153.54x = 230.34 × 62.25
  4. Step 4: Simplify right side
    153.54x = 14,338.67
  5. Step 5: Solve for x
    x = 14,338.67/153.54
  6. Step 6: Final answer
    x = 93.39

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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.