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Finding the Fourth Proportional to 104.37, 156.42 and 78.45

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Solution

The fourth proportional to 104.37, 156.42 and 78.45 is: 117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.37 : 156.42 = 78.45 : x
  2. Step 2: Convert to fraction form
    104.37/156.42 = 78.45/x
  3. Step 3: Cross multiply
    104.37x = 156.42 × 78.45
  4. Step 4: Simplify right side
    104.37x = 12,271.15
  5. Step 5: Solve for x
    x = 12,271.15/104.37
  6. Step 6: Final answer
    x = 117.57

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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.