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Finding the Fourth Proportional to 107.16, 147.84 and 70.20

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Solution

The fourth proportional to 107.16, 147.84 and 70.20 is: 96.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.16 : 147.84 = 70.20 : x
  2. Step 2: Convert to fraction form
    107.16/147.84 = 70.20/x
  3. Step 3: Cross multiply
    107.16x = 147.84 × 70.20
  4. Step 4: Simplify right side
    107.16x = 10,378.37
  5. Step 5: Solve for x
    x = 10,378.37/107.16
  6. Step 6: Final answer
    x = 96.85

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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.