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Finding the Fourth Proportional to 103.96, 156.53 and 77.10

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Solution

The fourth proportional to 103.96, 156.53 and 77.10 is: 116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.96 : 156.53 = 77.10 : x
  2. Step 2: Convert to fraction form
    103.96/156.53 = 77.10/x
  3. Step 3: Cross multiply
    103.96x = 156.53 × 77.10
  4. Step 4: Simplify right side
    103.96x = 12,068.08
  5. Step 5: Solve for x
    x = 12,068.08/103.96
  6. Step 6: Final answer
    x = 116.08

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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.