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Finding the Fourth Proportional to 137.60, 206.50 and 101.64

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Solution

The fourth proportional to 137.60, 206.50 and 101.64 is: 152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.60 : 206.50 = 101.64 : x
  2. Step 2: Convert to fraction form
    137.60/206.50 = 101.64/x
  3. Step 3: Cross multiply
    137.60x = 206.50 × 101.64
  4. Step 4: Simplify right side
    137.60x = 20,988.66
  5. Step 5: Solve for x
    x = 20,988.66/137.60
  6. Step 6: Final answer
    x = 152.53

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Why These Related Problems?

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