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Finding the Fourth Proportional to 113.16, 170.58 and 101.42

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Solution

The fourth proportional to 113.16, 170.58 and 101.42 is: 152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.16 : 170.58 = 101.42 : x
  2. Step 2: Convert to fraction form
    113.16/170.58 = 101.42/x
  3. Step 3: Cross multiply
    113.16x = 170.58 × 101.42
  4. Step 4: Simplify right side
    113.16x = 17,300.22
  5. Step 5: Solve for x
    x = 17,300.22/113.16
  6. Step 6: Final answer
    x = 152.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.