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Finding the Fourth Proportional to 106.51, 159.90 and 76

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Solution

The fourth proportional to 106.51, 159.90 and 76 is: 114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.51 : 159.90 = 76 : x
  2. Step 2: Convert to fraction form
    106.51/159.90 = 76/x
  3. Step 3: Cross multiply
    106.51x = 159.90 × 76
  4. Step 4: Simplify right side
    106.51x = 12,152.40
  5. Step 5: Solve for x
    x = 12,152.40/106.51
  6. Step 6: Final answer
    x = 114.10

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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.