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Finding the Fourth Proportional to 106.48, 147.82 and 102.16

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Solution

The fourth proportional to 106.48, 147.82 and 102.16 is: 141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.48 : 147.82 = 102.16 : x
  2. Step 2: Convert to fraction form
    106.48/147.82 = 102.16/x
  3. Step 3: Cross multiply
    106.48x = 147.82 × 102.16
  4. Step 4: Simplify right side
    106.48x = 15,101.29
  5. Step 5: Solve for x
    x = 15,101.29/106.48
  6. Step 6: Final answer
    x = 141.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.