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Finding the Fourth Proportional to 69.02, 103.40 and 57.58

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Solution

The fourth proportional to 69.02, 103.40 and 57.58 is: 86.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.02 : 103.40 = 57.58 : x
  2. Step 2: Convert to fraction form
    69.02/103.40 = 57.58/x
  3. Step 3: Cross multiply
    69.02x = 103.40 × 57.58
  4. Step 4: Simplify right side
    69.02x = 5,953.77
  5. Step 5: Solve for x
    x = 5,953.77/69.02
  6. Step 6: Final answer
    x = 86.26

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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.