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Finding the Fourth Proportional to 101.16, 151.62 and 53.10

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Solution

The fourth proportional to 101.16, 151.62 and 53.10 is: 79.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.16 : 151.62 = 53.10 : x
  2. Step 2: Convert to fraction form
    101.16/151.62 = 53.10/x
  3. Step 3: Cross multiply
    101.16x = 151.62 × 53.10
  4. Step 4: Simplify right side
    101.16x = 8,051.02
  5. Step 5: Solve for x
    x = 8,051.02/101.16
  6. Step 6: Final answer
    x = 79.59

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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.