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Finding the Fourth Proportional to 108.02, 148.88 and 76.88

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Solution

The fourth proportional to 108.02, 148.88 and 76.88 is: 105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.02 : 148.88 = 76.88 : x
  2. Step 2: Convert to fraction form
    108.02/148.88 = 76.88/x
  3. Step 3: Cross multiply
    108.02x = 148.88 × 76.88
  4. Step 4: Simplify right side
    108.02x = 11,444.77
  5. Step 5: Solve for x
    x = 11,444.77/108.02
  6. Step 6: Final answer
    x = 105.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.