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Finding the Fourth Proportional to 152.96, 211.12 and 109.36

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Solution

The fourth proportional to 152.96, 211.12 and 109.36 is: 150.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.96 : 211.12 = 109.36 : x
  2. Step 2: Convert to fraction form
    152.96/211.12 = 109.36/x
  3. Step 3: Cross multiply
    152.96x = 211.12 × 109.36
  4. Step 4: Simplify right side
    152.96x = 23,088.08
  5. Step 5: Solve for x
    x = 23,088.08/152.96
  6. Step 6: Final answer
    x = 150.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.