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Finding the Fourth Proportional to 102.60, 137.70 and 102.60

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Solution

The fourth proportional to 102.60, 137.70 and 102.60 is: 137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.60 : 137.70 = 102.60 : x
  2. Step 2: Convert to fraction form
    102.60/137.70 = 102.60/x
  3. Step 3: Cross multiply
    102.60x = 137.70 × 102.60
  4. Step 4: Simplify right side
    102.60x = 14,128.02
  5. Step 5: Solve for x
    x = 14,128.02/102.60
  6. Step 6: Final answer
    x = 137.70

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.