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Finding the Fourth Proportional to 162.16, 243.16 and 65.96

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Solution

The fourth proportional to 162.16, 243.16 and 65.96 is: 98.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.16 : 243.16 = 65.96 : x
  2. Step 2: Convert to fraction form
    162.16/243.16 = 65.96/x
  3. Step 3: Cross multiply
    162.16x = 243.16 × 65.96
  4. Step 4: Simplify right side
    162.16x = 16,038.83
  5. Step 5: Solve for x
    x = 16,038.83/162.16
  6. Step 6: Final answer
    x = 98.91

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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.