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Finding the Fourth Proportional to 142.32, 212.94 and 101.70

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Solution

The fourth proportional to 142.32, 212.94 and 101.70 is: 152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.32 : 212.94 = 101.70 : x
  2. Step 2: Convert to fraction form
    142.32/212.94 = 101.70/x
  3. Step 3: Cross multiply
    142.32x = 212.94 × 101.70
  4. Step 4: Simplify right side
    142.32x = 21,656.00
  5. Step 5: Solve for x
    x = 21,656.00/142.32
  6. Step 6: Final answer
    x = 152.16

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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.