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Finding the Fourth Proportional to 106.41, 158.76 and 91.02

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Solution

The fourth proportional to 106.41, 158.76 and 91.02 is: 135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.41 : 158.76 = 91.02 : x
  2. Step 2: Convert to fraction form
    106.41/158.76 = 91.02/x
  3. Step 3: Cross multiply
    106.41x = 158.76 × 91.02
  4. Step 4: Simplify right side
    106.41x = 14,450.34
  5. Step 5: Solve for x
    x = 14,450.34/106.41
  6. Step 6: Final answer
    x = 135.80

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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.