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Finding the Fourth Proportional to 105.16, 156.64 and 103.34

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Solution

The fourth proportional to 105.16, 156.64 and 103.34 is: 153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.16 : 156.64 = 103.34 : x
  2. Step 2: Convert to fraction form
    105.16/156.64 = 103.34/x
  3. Step 3: Cross multiply
    105.16x = 156.64 × 103.34
  4. Step 4: Simplify right side
    105.16x = 16,185.88
  5. Step 5: Solve for x
    x = 16,185.88/105.16
  6. Step 6: Final answer
    x = 153.92

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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.