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Finding the Fourth Proportional to 153.36, 230 and 102.32

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Solution

The fourth proportional to 153.36, 230 and 102.32 is: 153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.36 : 230 = 102.32 : x
  2. Step 2: Convert to fraction form
    153.36/230 = 102.32/x
  3. Step 3: Cross multiply
    153.36x = 230 × 102.32
  4. Step 4: Simplify right side
    153.36x = 23,533.60
  5. Step 5: Solve for x
    x = 23,533.60/153.36
  6. Step 6: Final answer
    x = 153.45

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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.