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Finding the Fourth Proportional to 162.95, 244.51 and 102.07

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Solution

The fourth proportional to 162.95, 244.51 and 102.07 is: 153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.95 : 244.51 = 102.07 : x
  2. Step 2: Convert to fraction form
    162.95/244.51 = 102.07/x
  3. Step 3: Cross multiply
    162.95x = 244.51 × 102.07
  4. Step 4: Simplify right side
    162.95x = 24,957.14
  5. Step 5: Solve for x
    x = 24,957.14/162.95
  6. Step 6: Final answer
    x = 153.16

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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.