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Finding the Fourth Proportional to 106.82, 147.40 and 65.38

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Solution

The fourth proportional to 106.82, 147.40 and 65.38 is: 90.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.82 : 147.40 = 65.38 : x
  2. Step 2: Convert to fraction form
    106.82/147.40 = 65.38/x
  3. Step 3: Cross multiply
    106.82x = 147.40 × 65.38
  4. Step 4: Simplify right side
    106.82x = 9,637.01
  5. Step 5: Solve for x
    x = 9,637.01/106.82
  6. Step 6: Final answer
    x = 90.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.