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Finding the Fourth Proportional to 108.16, 147.20 and 107.20

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Solution

The fourth proportional to 108.16, 147.20 and 107.20 is: 145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.16 : 147.20 = 107.20 : x
  2. Step 2: Convert to fraction form
    108.16/147.20 = 107.20/x
  3. Step 3: Cross multiply
    108.16x = 147.20 × 107.20
  4. Step 4: Simplify right side
    108.16x = 15,779.84
  5. Step 5: Solve for x
    x = 15,779.84/108.16
  6. Step 6: Final answer
    x = 145.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.