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Finding the Fourth Proportional to 137.34, 205.76 and 65.10

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Solution

The fourth proportional to 137.34, 205.76 and 65.10 is: 97.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.34 : 205.76 = 65.10 : x
  2. Step 2: Convert to fraction form
    137.34/205.76 = 65.10/x
  3. Step 3: Cross multiply
    137.34x = 205.76 × 65.10
  4. Step 4: Simplify right side
    137.34x = 13,394.98
  5. Step 5: Solve for x
    x = 13,394.98/137.34
  6. Step 6: Final answer
    x = 97.53

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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.