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Finding the Fourth Proportional to 152.81, 228.91 and 114.33

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Solution

The fourth proportional to 152.81, 228.91 and 114.33 is: 171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.81 : 228.91 = 114.33 : x
  2. Step 2: Convert to fraction form
    152.81/228.91 = 114.33/x
  3. Step 3: Cross multiply
    152.81x = 228.91 × 114.33
  4. Step 4: Simplify right side
    152.81x = 26,171.28
  5. Step 5: Solve for x
    x = 26,171.28/152.81
  6. Step 6: Final answer
    x = 171.27

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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.