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Finding the Fourth Proportional to 102.03, 153.06 and 37.91

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Solution

The fourth proportional to 102.03, 153.06 and 37.91 is: 56.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.03 : 153.06 = 37.91 : x
  2. Step 2: Convert to fraction form
    102.03/153.06 = 37.91/x
  3. Step 3: Cross multiply
    102.03x = 153.06 × 37.91
  4. Step 4: Simplify right side
    102.03x = 5,801.55
  5. Step 5: Solve for x
    x = 5,801.55/102.03
  6. Step 6: Final answer
    x = 56.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.