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Finding the Fourth Proportional to 102.12, 153.26 and 99

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Solution

The fourth proportional to 102.12, 153.26 and 99 is: 148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.12 : 153.26 = 99 : x
  2. Step 2: Convert to fraction form
    102.12/153.26 = 99/x
  3. Step 3: Cross multiply
    102.12x = 153.26 × 99
  4. Step 4: Simplify right side
    102.12x = 15,172.74
  5. Step 5: Solve for x
    x = 15,172.74/102.12
  6. Step 6: Final answer
    x = 148.58

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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.