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Finding the Fourth Proportional to 105.51, 157.35 and 103.71

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Solution

The fourth proportional to 105.51, 157.35 and 103.71 is: 154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.51 : 157.35 = 103.71 : x
  2. Step 2: Convert to fraction form
    105.51/157.35 = 103.71/x
  3. Step 3: Cross multiply
    105.51x = 157.35 × 103.71
  4. Step 4: Simplify right side
    105.51x = 16,318.77
  5. Step 5: Solve for x
    x = 16,318.77/105.51
  6. Step 6: Final answer
    x = 154.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.