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Finding the Fourth Proportional to 106.97, 147.51 and 85.10

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Solution

The fourth proportional to 106.97, 147.51 and 85.10 is: 117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.97 : 147.51 = 85.10 : x
  2. Step 2: Convert to fraction form
    106.97/147.51 = 85.10/x
  3. Step 3: Cross multiply
    106.97x = 147.51 × 85.10
  4. Step 4: Simplify right side
    106.97x = 12,552.36
  5. Step 5: Solve for x
    x = 12,552.36/106.97
  6. Step 6: Final answer
    x = 117.35

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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.