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Finding the Fourth Proportional to 117.60, 162.08 and 83.04

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Solution

The fourth proportional to 117.60, 162.08 and 83.04 is: 114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.60 : 162.08 = 83.04 : x
  2. Step 2: Convert to fraction form
    117.60/162.08 = 83.04/x
  3. Step 3: Cross multiply
    117.60x = 162.08 × 83.04
  4. Step 4: Simplify right side
    117.60x = 13,459.12
  5. Step 5: Solve for x
    x = 13,459.12/117.60
  6. Step 6: Final answer
    x = 114.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.