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Finding the Fourth Proportional to 156.78, 235.35 and 84.69

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Solution

The fourth proportional to 156.78, 235.35 and 84.69 is: 127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.78 : 235.35 = 84.69 : x
  2. Step 2: Convert to fraction form
    156.78/235.35 = 84.69/x
  3. Step 3: Cross multiply
    156.78x = 235.35 × 84.69
  4. Step 4: Simplify right side
    156.78x = 19,931.79
  5. Step 5: Solve for x
    x = 19,931.79/156.78
  6. Step 6: Final answer
    x = 127.13

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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.