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Finding the Fourth Proportional to 106.84, 159.60 and 90.64

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Solution

The fourth proportional to 106.84, 159.60 and 90.64 is: 135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.84 : 159.60 = 90.64 : x
  2. Step 2: Convert to fraction form
    106.84/159.60 = 90.64/x
  3. Step 3: Cross multiply
    106.84x = 159.60 × 90.64
  4. Step 4: Simplify right side
    106.84x = 14,466.14
  5. Step 5: Solve for x
    x = 14,466.14/106.84
  6. Step 6: Final answer
    x = 135.40

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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.