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Finding the Fourth Proportional to 106.47, 146.03 and 102.06

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Solution

The fourth proportional to 106.47, 146.03 and 102.06 is: 139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.47 : 146.03 = 102.06 : x
  2. Step 2: Convert to fraction form
    106.47/146.03 = 102.06/x
  3. Step 3: Cross multiply
    106.47x = 146.03 × 102.06
  4. Step 4: Simplify right side
    106.47x = 14,903.31
  5. Step 5: Solve for x
    x = 14,903.31/106.47
  6. Step 6: Final answer
    x = 139.98

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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.