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Finding the Fourth Proportional to 153.11, 229.77 and 114.64

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Solution

The fourth proportional to 153.11, 229.77 and 114.64 is: 172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.11 : 229.77 = 114.64 : x
  2. Step 2: Convert to fraction form
    153.11/229.77 = 114.64/x
  3. Step 3: Cross multiply
    153.11x = 229.77 × 114.64
  4. Step 4: Simplify right side
    153.11x = 26,340.26
  5. Step 5: Solve for x
    x = 26,340.26/153.11
  6. Step 6: Final answer
    x = 172.03

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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.