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Finding the Fourth Proportional to 137.64, 207.16 and 103.58

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Solution

The fourth proportional to 137.64, 207.16 and 103.58 is: 155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.64 : 207.16 = 103.58 : x
  2. Step 2: Convert to fraction form
    137.64/207.16 = 103.58/x
  3. Step 3: Cross multiply
    137.64x = 207.16 × 103.58
  4. Step 4: Simplify right side
    137.64x = 21,457.63
  5. Step 5: Solve for x
    x = 21,457.63/137.64
  6. Step 6: Final answer
    x = 155.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.