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Finding the Fourth Proportional to 123.90, 170.98 and 74.76

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Solution

The fourth proportional to 123.90, 170.98 and 74.76 is: 103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.90 : 170.98 = 74.76 : x
  2. Step 2: Convert to fraction form
    123.90/170.98 = 74.76/x
  3. Step 3: Cross multiply
    123.90x = 170.98 × 74.76
  4. Step 4: Simplify right side
    123.90x = 12,782.71
  5. Step 5: Solve for x
    x = 12,782.71/123.90
  6. Step 6: Final answer
    x = 103.17

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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.