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Finding the Fourth Proportional to 106.61, 147.07 and 69.77

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Solution

The fourth proportional to 106.61, 147.07 and 69.77 is: 96.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.61 : 147.07 = 69.77 : x
  2. Step 2: Convert to fraction form
    106.61/147.07 = 69.77/x
  3. Step 3: Cross multiply
    106.61x = 147.07 × 69.77
  4. Step 4: Simplify right side
    106.61x = 10,261.07
  5. Step 5: Solve for x
    x = 10,261.07/106.61
  6. Step 6: Final answer
    x = 96.25

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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.