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Finding the Fourth Proportional to 106.63, 147.14 and 60.00

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Solution

The fourth proportional to 106.63, 147.14 and 60.00 is: 82.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.63 : 147.14 = 60.00 : x
  2. Step 2: Convert to fraction form
    106.63/147.14 = 60.00/x
  3. Step 3: Cross multiply
    106.63x = 147.14 × 60.00
  4. Step 4: Simplify right side
    106.63x = 8,828.92
  5. Step 5: Solve for x
    x = 8,828.92/106.63
  6. Step 6: Final answer
    x = 82.80

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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.