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Finding the Fourth Proportional to 162.34, 243.57 and 101.40

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Solution

The fourth proportional to 162.34, 243.57 and 101.40 is: 152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.34 : 243.57 = 101.40 : x
  2. Step 2: Convert to fraction form
    162.34/243.57 = 101.40/x
  3. Step 3: Cross multiply
    162.34x = 243.57 × 101.40
  4. Step 4: Simplify right side
    162.34x = 24,697.49
  5. Step 5: Solve for x
    x = 24,697.49/162.34
  6. Step 6: Final answer
    x = 152.14

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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.