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Finding the Fourth Proportional to 152.13, 209.88 and 93.87

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Solution

The fourth proportional to 152.13, 209.88 and 93.87 is: 129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.13 : 209.88 = 93.87 : x
  2. Step 2: Convert to fraction form
    152.13/209.88 = 93.87/x
  3. Step 3: Cross multiply
    152.13x = 209.88 × 93.87
  4. Step 4: Simplify right side
    152.13x = 19,701.44
  5. Step 5: Solve for x
    x = 19,701.44/152.13
  6. Step 6: Final answer
    x = 129.50

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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.