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Finding the Fourth Proportional to 102.10, 152.51 and 92.99

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Solution

The fourth proportional to 102.10, 152.51 and 92.99 is: 138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.10 : 152.51 = 92.99 : x
  2. Step 2: Convert to fraction form
    102.10/152.51 = 92.99/x
  3. Step 3: Cross multiply
    102.10x = 152.51 × 92.99
  4. Step 4: Simplify right side
    102.10x = 14,181.90
  5. Step 5: Solve for x
    x = 14,181.90/102.10
  6. Step 6: Final answer
    x = 138.90

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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.