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Finding the Fourth Proportional to 136, 187.65 and 101.04

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Solution

The fourth proportional to 136, 187.65 and 101.04 is: 139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136 : 187.65 = 101.04 : x
  2. Step 2: Convert to fraction form
    136/187.65 = 101.04/x
  3. Step 3: Cross multiply
    136x = 187.65 × 101.04
  4. Step 4: Simplify right side
    136x = 18,960.16
  5. Step 5: Solve for x
    x = 18,960.16/136
  6. Step 6: Final answer
    x = 139.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.