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Finding the Fourth Proportional to 152.67, 211.08 and 106.39

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Solution

The fourth proportional to 152.67, 211.08 and 106.39 is: 147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.67 : 211.08 = 106.39 : x
  2. Step 2: Convert to fraction form
    152.67/211.08 = 106.39/x
  3. Step 3: Cross multiply
    152.67x = 211.08 × 106.39
  4. Step 4: Simplify right side
    152.67x = 22,457.46
  5. Step 5: Solve for x
    x = 22,457.46/152.67
  6. Step 6: Final answer
    x = 147.09

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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.