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Finding the Fourth Proportional to 153.32, 230.03 and 84.75

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Solution

The fourth proportional to 153.32, 230.03 and 84.75 is: 127.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.32 : 230.03 = 84.75 : x
  2. Step 2: Convert to fraction form
    153.32/230.03 = 84.75/x
  3. Step 3: Cross multiply
    153.32x = 230.03 × 84.75
  4. Step 4: Simplify right side
    153.32x = 19,494.07
  5. Step 5: Solve for x
    x = 19,494.07/153.32
  6. Step 6: Final answer
    x = 127.15

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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.