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Finding the Fourth Proportional to 103.84, 156.34 and 86.98

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Solution

The fourth proportional to 103.84, 156.34 and 86.98 is: 130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.84 : 156.34 = 86.98 : x
  2. Step 2: Convert to fraction form
    103.84/156.34 = 86.98/x
  3. Step 3: Cross multiply
    103.84x = 156.34 × 86.98
  4. Step 4: Simplify right side
    103.84x = 13,598.45
  5. Step 5: Solve for x
    x = 13,598.45/103.84
  6. Step 6: Final answer
    x = 130.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.