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Finding the Fourth Proportional to 106.61, 159.02 and 89.30

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Solution

The fourth proportional to 106.61, 159.02 and 89.30 is: 133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.61 : 159.02 = 89.30 : x
  2. Step 2: Convert to fraction form
    106.61/159.02 = 89.30/x
  3. Step 3: Cross multiply
    106.61x = 159.02 × 89.30
  4. Step 4: Simplify right side
    106.61x = 14,199.24
  5. Step 5: Solve for x
    x = 14,199.24/106.61
  6. Step 6: Final answer
    x = 133.19

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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.