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Finding the Fourth Proportional to 105.12, 156.54 and 102.60

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Solution

The fourth proportional to 105.12, 156.54 and 102.60 is: 152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.12 : 156.54 = 102.60 : x
  2. Step 2: Convert to fraction form
    105.12/156.54 = 102.60/x
  3. Step 3: Cross multiply
    105.12x = 156.54 × 102.60
  4. Step 4: Simplify right side
    105.12x = 16,061.00
  5. Step 5: Solve for x
    x = 16,061.00/105.12
  6. Step 6: Final answer
    x = 152.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.