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Finding the Fourth Proportional to 106.34, 159.30 and 51.40

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Solution

The fourth proportional to 106.34, 159.30 and 51.40 is: 77.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.34 : 159.30 = 51.40 : x
  2. Step 2: Convert to fraction form
    106.34/159.30 = 51.40/x
  3. Step 3: Cross multiply
    106.34x = 159.30 × 51.40
  4. Step 4: Simplify right side
    106.34x = 8,188.02
  5. Step 5: Solve for x
    x = 8,188.02/106.34
  6. Step 6: Final answer
    x = 77.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.