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Finding the Fourth Proportional to 123.58, 185.32 and 77.80

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Solution

The fourth proportional to 123.58, 185.32 and 77.80 is: 116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.58 : 185.32 = 77.80 : x
  2. Step 2: Convert to fraction form
    123.58/185.32 = 77.80/x
  3. Step 3: Cross multiply
    123.58x = 185.32 × 77.80
  4. Step 4: Simplify right side
    123.58x = 14,417.90
  5. Step 5: Solve for x
    x = 14,417.90/123.58
  6. Step 6: Final answer
    x = 116.67

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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.