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Finding the Fourth Proportional to 106.84, 147.41 and 65.39

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Solution

The fourth proportional to 106.84, 147.41 and 65.39 is: 90.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.84 : 147.41 = 65.39 : x
  2. Step 2: Convert to fraction form
    106.84/147.41 = 65.39/x
  3. Step 3: Cross multiply
    106.84x = 147.41 × 65.39
  4. Step 4: Simplify right side
    106.84x = 9,638.32
  5. Step 5: Solve for x
    x = 9,638.32/106.84
  6. Step 6: Final answer
    x = 90.21

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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.