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Finding the Fourth Proportional to 107.04, 159.35 and 102.07

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Solution

The fourth proportional to 107.04, 159.35 and 102.07 is: 151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.04 : 159.35 = 102.07 : x
  2. Step 2: Convert to fraction form
    107.04/159.35 = 102.07/x
  3. Step 3: Cross multiply
    107.04x = 159.35 × 102.07
  4. Step 4: Simplify right side
    107.04x = 16,264.85
  5. Step 5: Solve for x
    x = 16,264.85/107.04
  6. Step 6: Final answer
    x = 151.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.