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Finding the Fourth Proportional to 142, 195.84 and 117.60

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Solution

The fourth proportional to 142, 195.84 and 117.60 is: 162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142 : 195.84 = 117.60 : x
  2. Step 2: Convert to fraction form
    142/195.84 = 117.60/x
  3. Step 3: Cross multiply
    142x = 195.84 × 117.60
  4. Step 4: Simplify right side
    142x = 23,030.78
  5. Step 5: Solve for x
    x = 23,030.78/142
  6. Step 6: Final answer
    x = 162.19

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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.