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Finding the Fourth Proportional to 169.21, 253.70 and 59.50

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Solution

The fourth proportional to 169.21, 253.70 and 59.50 is: 89.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.21 : 253.70 = 59.50 : x
  2. Step 2: Convert to fraction form
    169.21/253.70 = 59.50/x
  3. Step 3: Cross multiply
    169.21x = 253.70 × 59.50
  4. Step 4: Simplify right side
    169.21x = 15,094.13
  5. Step 5: Solve for x
    x = 15,094.13/169.21
  6. Step 6: Final answer
    x = 89.20

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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.