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Finding the Fourth Proportional to 152.33, 209.95 and 108.07

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Solution

The fourth proportional to 152.33, 209.95 and 108.07 is: 148.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.33 : 209.95 = 108.07 : x
  2. Step 2: Convert to fraction form
    152.33/209.95 = 108.07/x
  3. Step 3: Cross multiply
    152.33x = 209.95 × 108.07
  4. Step 4: Simplify right side
    152.33x = 22,688.50
  5. Step 5: Solve for x
    x = 22,688.50/152.33
  6. Step 6: Final answer
    x = 148.95

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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.