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Finding the Fourth Proportional to 108.34, 162.54 and 65.00

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Solution

The fourth proportional to 108.34, 162.54 and 65.00 is: 97.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.34 : 162.54 = 65.00 : x
  2. Step 2: Convert to fraction form
    108.34/162.54 = 65.00/x
  3. Step 3: Cross multiply
    108.34x = 162.54 × 65.00
  4. Step 4: Simplify right side
    108.34x = 10,565.51
  5. Step 5: Solve for x
    x = 10,565.51/108.34
  6. Step 6: Final answer
    x = 97.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.