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Finding the Fourth Proportional to 162.04, 242.52 and 114.16

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Solution

The fourth proportional to 162.04, 242.52 and 114.16 is: 170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.04 : 242.52 = 114.16 : x
  2. Step 2: Convert to fraction form
    162.04/242.52 = 114.16/x
  3. Step 3: Cross multiply
    162.04x = 242.52 × 114.16
  4. Step 4: Simplify right side
    162.04x = 27,686.08
  5. Step 5: Solve for x
    x = 27,686.08/162.04
  6. Step 6: Final answer
    x = 170.86

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