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Finding the Fourth Proportional to 107.17, 146.88 and 106.99

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Solution

The fourth proportional to 107.17, 146.88 and 106.99 is: 146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.17 : 146.88 = 106.99 : x
  2. Step 2: Convert to fraction form
    107.17/146.88 = 106.99/x
  3. Step 3: Cross multiply
    107.17x = 146.88 × 106.99
  4. Step 4: Simplify right side
    107.17x = 15,714.32
  5. Step 5: Solve for x
    x = 15,714.32/107.17
  6. Step 6: Final answer
    x = 146.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.