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Finding the Fourth Proportional to 137.58, 206.05 and 101.58

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Solution

The fourth proportional to 137.58, 206.05 and 101.58 is: 152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.58 : 206.05 = 101.58 : x
  2. Step 2: Convert to fraction form
    137.58/206.05 = 101.58/x
  3. Step 3: Cross multiply
    137.58x = 206.05 × 101.58
  4. Step 4: Simplify right side
    137.58x = 20,930.56
  5. Step 5: Solve for x
    x = 20,930.56/137.58
  6. Step 6: Final answer
    x = 152.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.