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Finding the Fourth Proportional to 135.99, 187.65 and 76.98

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Solution

The fourth proportional to 135.99, 187.65 and 76.98 is: 106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.99 : 187.65 = 76.98 : x
  2. Step 2: Convert to fraction form
    135.99/187.65 = 76.98/x
  3. Step 3: Cross multiply
    135.99x = 187.65 × 76.98
  4. Step 4: Simplify right side
    135.99x = 14,445.30
  5. Step 5: Solve for x
    x = 14,445.30/135.99
  6. Step 6: Final answer
    x = 106.22

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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.