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Finding the Fourth Proportional to 156.01, 233.84 and 64.66

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Solution

The fourth proportional to 156.01, 233.84 and 64.66 is: 96.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.01 : 233.84 = 64.66 : x
  2. Step 2: Convert to fraction form
    156.01/233.84 = 64.66/x
  3. Step 3: Cross multiply
    156.01x = 233.84 × 64.66
  4. Step 4: Simplify right side
    156.01x = 15,118.93
  5. Step 5: Solve for x
    x = 15,118.93/156.01
  6. Step 6: Final answer
    x = 96.91

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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.