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Finding the Fourth Proportional to 135.81, 187.45 and 103.01

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Solution

The fourth proportional to 135.81, 187.45 and 103.01 is: 142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.81 : 187.45 = 103.01 : x
  2. Step 2: Convert to fraction form
    135.81/187.45 = 103.01/x
  3. Step 3: Cross multiply
    135.81x = 187.45 × 103.01
  4. Step 4: Simplify right side
    135.81x = 19,308.24
  5. Step 5: Solve for x
    x = 19,308.24/135.81
  6. Step 6: Final answer
    x = 142.17

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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.