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Finding the Fourth Proportional to 106.67, 147.14 and 65.24

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Solution

The fourth proportional to 106.67, 147.14 and 65.24 is: 89.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.67 : 147.14 = 65.24 : x
  2. Step 2: Convert to fraction form
    106.67/147.14 = 65.24/x
  3. Step 3: Cross multiply
    106.67x = 147.14 × 65.24
  4. Step 4: Simplify right side
    106.67x = 9,599.41
  5. Step 5: Solve for x
    x = 9,599.41/106.67
  6. Step 6: Final answer
    x = 89.99

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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.