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Finding the Fourth Proportional to 156.16, 215.51 and 90.66

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Solution

The fourth proportional to 156.16, 215.51 and 90.66 is: 125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.16 : 215.51 = 90.66 : x
  2. Step 2: Convert to fraction form
    156.16/215.51 = 90.66/x
  3. Step 3: Cross multiply
    156.16x = 215.51 × 90.66
  4. Step 4: Simplify right side
    156.16x = 19,538.49
  5. Step 5: Solve for x
    x = 19,538.49/156.16
  6. Step 6: Final answer
    x = 125.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.