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Finding the Fourth Proportional to 114, 156.64 and 93.22

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Solution

The fourth proportional to 114, 156.64 and 93.22 is: 128.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114 : 156.64 = 93.22 : x
  2. Step 2: Convert to fraction form
    114/156.64 = 93.22/x
  3. Step 3: Cross multiply
    114x = 156.64 × 93.22
  4. Step 4: Simplify right side
    114x = 14,601.51
  5. Step 5: Solve for x
    x = 14,601.51/114
  6. Step 6: Final answer
    x = 128.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.