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Finding the Fourth Proportional to 106.51, 147.08 and 75.46

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Solution

The fourth proportional to 106.51, 147.08 and 75.46 is: 104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.51 : 147.08 = 75.46 : x
  2. Step 2: Convert to fraction form
    106.51/147.08 = 75.46/x
  3. Step 3: Cross multiply
    106.51x = 147.08 × 75.46
  4. Step 4: Simplify right side
    106.51x = 11,098.66
  5. Step 5: Solve for x
    x = 11,098.66/106.51
  6. Step 6: Final answer
    x = 104.20

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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.