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Finding the Fourth Proportional to 153.39, 230.07 and 102.00

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Solution

The fourth proportional to 153.39, 230.07 and 102.00 is: 152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.39 : 230.07 = 102.00 : x
  2. Step 2: Convert to fraction form
    153.39/230.07 = 102.00/x
  3. Step 3: Cross multiply
    153.39x = 230.07 × 102.00
  4. Step 4: Simplify right side
    153.39x = 23,468.01
  5. Step 5: Solve for x
    x = 23,468.01/153.39
  6. Step 6: Final answer
    x = 152.99

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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.