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Finding the Fourth Proportional to 106.16, 145.72 and 97.96

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Solution

The fourth proportional to 106.16, 145.72 and 97.96 is: 134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.16 : 145.72 = 97.96 : x
  2. Step 2: Convert to fraction form
    106.16/145.72 = 97.96/x
  3. Step 3: Cross multiply
    106.16x = 145.72 × 97.96
  4. Step 4: Simplify right side
    106.16x = 14,273.51
  5. Step 5: Solve for x
    x = 14,273.51/106.16
  6. Step 6: Final answer
    x = 134.46

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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.