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Finding the Fourth Proportional to 113.02, 170.32 and 101.62

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Solution

The fourth proportional to 113.02, 170.32 and 101.62 is: 153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.02 : 170.32 = 101.62 : x
  2. Step 2: Convert to fraction form
    113.02/170.32 = 101.62/x
  3. Step 3: Cross multiply
    113.02x = 170.32 × 101.62
  4. Step 4: Simplify right side
    113.02x = 17,307.92
  5. Step 5: Solve for x
    x = 17,307.92/113.02
  6. Step 6: Final answer
    x = 153.14

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