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Finding the Fourth Proportional to 152.09, 228.12 and 74.97

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Solution

The fourth proportional to 152.09, 228.12 and 74.97 is: 112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.09 : 228.12 = 74.97 : x
  2. Step 2: Convert to fraction form
    152.09/228.12 = 74.97/x
  3. Step 3: Cross multiply
    152.09x = 228.12 × 74.97
  4. Step 4: Simplify right side
    152.09x = 17,101.97
  5. Step 5: Solve for x
    x = 17,101.97/152.09
  6. Step 6: Final answer
    x = 112.45

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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.