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Finding the Fourth Proportional to 106.54, 147.03 and 65.08

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Solution

The fourth proportional to 106.54, 147.03 and 65.08 is: 89.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.54 : 147.03 = 65.08 : x
  2. Step 2: Convert to fraction form
    106.54/147.03 = 65.08/x
  3. Step 3: Cross multiply
    106.54x = 147.03 × 65.08
  4. Step 4: Simplify right side
    106.54x = 9,568.65
  5. Step 5: Solve for x
    x = 9,568.65/106.54
  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.