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Finding the Fourth Proportional to 136, 187.59 and 103.24

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Solution

The fourth proportional to 136, 187.59 and 103.24 is: 142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136 : 187.59 = 103.24 : x
  2. Step 2: Convert to fraction form
    136/187.59 = 103.24/x
  3. Step 3: Cross multiply
    136x = 187.59 × 103.24
  4. Step 4: Simplify right side
    136x = 19,366.79
  5. Step 5: Solve for x
    x = 19,366.79/136
  6. Step 6: Final answer
    x = 142.40

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Why These Related Problems?

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