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Finding the Fourth Proportional to 162.53, 243.64 and 65.00

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Solution

The fourth proportional to 162.53, 243.64 and 65.00 is: 97.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.53 : 243.64 = 65.00 : x
  2. Step 2: Convert to fraction form
    162.53/243.64 = 65.00/x
  3. Step 3: Cross multiply
    162.53x = 243.64 × 65.00
  4. Step 4: Simplify right side
    162.53x = 15,837.29
  5. Step 5: Solve for x
    x = 15,837.29/162.53
  6. Step 6: Final answer
    x = 97.44

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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.