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Finding the Fourth Proportional to 106.18, 145.76 and 102.54

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Solution

The fourth proportional to 106.18, 145.76 and 102.54 is: 140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.18 : 145.76 = 102.54 : x
  2. Step 2: Convert to fraction form
    106.18/145.76 = 102.54/x
  3. Step 3: Cross multiply
    106.18x = 145.76 × 102.54
  4. Step 4: Simplify right side
    106.18x = 14,946.23
  5. Step 5: Solve for x
    x = 14,946.23/106.18
  6. Step 6: Final answer
    x = 140.76

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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.