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Finding the Fourth Proportional to 138.70, 187.45 and 138.70

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Solution

The fourth proportional to 138.70, 187.45 and 138.70 is: 187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.70 : 187.45 = 138.70 : x
  2. Step 2: Convert to fraction form
    138.70/187.45 = 138.70/x
  3. Step 3: Cross multiply
    138.70x = 187.45 × 138.70
  4. Step 4: Simplify right side
    138.70x = 25,999.32
  5. Step 5: Solve for x
    x = 25,999.32/138.70
  6. Step 6: Final answer
    x = 187.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.