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Finding the Fourth Proportional to 105.24, 156.90 and 102.53

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Solution

The fourth proportional to 105.24, 156.90 and 102.53 is: 152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.24 : 156.90 = 102.53 : x
  2. Step 2: Convert to fraction form
    105.24/156.90 = 102.53/x
  3. Step 3: Cross multiply
    105.24x = 156.90 × 102.53
  4. Step 4: Simplify right side
    105.24x = 16,086.64
  5. Step 5: Solve for x
    x = 16,086.64/105.24
  6. Step 6: Final answer
    x = 152.86

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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.