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Finding the Fourth Proportional to 156.86, 235.38 and 74.58

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Solution

The fourth proportional to 156.86, 235.38 and 74.58 is: 111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.86 : 235.38 = 74.58 : x
  2. Step 2: Convert to fraction form
    156.86/235.38 = 74.58/x
  3. Step 3: Cross multiply
    156.86x = 235.38 × 74.58
  4. Step 4: Simplify right side
    156.86x = 17,554.64
  5. Step 5: Solve for x
    x = 17,554.64/156.86
  6. Step 6: Final answer
    x = 111.91

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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.