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Finding the Fourth Proportional to 106.57, 147.02 and 65.10

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Solution

The fourth proportional to 106.57, 147.02 and 65.10 is: 89.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.57 : 147.02 = 65.10 : x
  2. Step 2: Convert to fraction form
    106.57/147.02 = 65.10/x
  3. Step 3: Cross multiply
    106.57x = 147.02 × 65.10
  4. Step 4: Simplify right side
    106.57x = 9,571.16
  5. Step 5: Solve for x
    x = 9,571.16/106.57
  6. Step 6: Final answer
    x = 89.81

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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.